Competition between superconductivity and spin density wave. Tian De Cao. Department of Physics, Nanjing University of Information Science & Technology, Nanjing 210044, China. Abstract. The Hubbard model has been investigated widely by many authors,
Aug 22, 2011 - 3Texas Center for Superconductivity, University of Houston, Houston, TX 77204-5002, USA ... appears next to a spin-density wave (SDW) state suggest- ..... The 1/23T1T data below TSDW exhibit a strong temperature and doping dependence [
sure domain below the critical point (9.43 kbar, 1.2 K) for the stabilisation of the superconducting ground state featuring a ... between SDW and SC domains and the free energy of homogeneous phases which explains fairly well our experimental ......
Jun 17, 2009 - Competition between spin density wave order and superconductivity in the underdoped cuprates. Eun Gook Moon and Subir Sachdev. Department of Physics, Harvard University, Cambridge MA 02138. (Dated: May 14, 2009). Abstract. We describe
5. Table. Essential results obtained by the MÃ¶ssbauer spectroscopy at various temperatures T for doped. (superconducting) compounds. The square root from the mean squared amplitude of SDW is shown for magnetic components. The symbol A denotes contri
Jul 16, 2009 - (âe < 0) onto the hole Fermi surface with the positive order parameter (âh > 0). Whenever the two FSs intersect, an SDW gap opens up. It seems obvious that, when that happens, â on the newly formed FSs should change sign, that is
Jun 2, 2010 - ËGfcËGff ) ,. (2.13) which satisfies the Dyson equation,. ÌGâ1(k,Îµn) = iÎµn â ÌHk ,. (2.14) where Îµn = ÏT(2n + 1) are the Matsubara frequencies. The system of equations is closed by the self-consistency equations for the SC a
Jan 24, 2006 - arXiv:cond-mat/0601551v1 [cond-mat.supr-con] 24 Jan 2006. Coexistence of Triplet Superconductivity and Spin Density Wave. Wei Zhang and C. A. R. SÃ¡ de Melo. School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332. (
Jul 24, 2012 - coupling instabilities to both chiral d + id superconductivity and to a uniaxial spin density wave. Right at van Hove doping, the ... may allow us to access new many body phases that have not been hitherto observed. ... cipal weak coup
Mar 9, 2013 - tion. As will be seen below, the DW ordering is indeed suppressed by the Bi doping. Figure 2 shows temperature dependence of resistivity. [Ï(T)] of the BaTi2(Sb1âxBix)2O polycrystalline sam- ples. The Ï(T) data of the undoped compou
an interesting history, beginning as a way to understand the suppression of. Tc in some of the .... making up the pair. The pairing interaction Vs(â) is clearly repulsive on site but becomes attractive on near-neighbor as well as some longer-range
Jul 23, 2013 - match the Cooper pair state to the attractive regions, Tc may rise to the experimentally accessible range. ... In our previous work [5â7] we focussed on clarifying the general features of the magnetic interaction model. ... to be pai
Jan 7, 2015 - I. INTRODUCTION. One of the major themes in the physics of condensed matter is unconventional superconductivity in Fe-based materials1â4.
Phone +43-316-873-8180,. Fax:+43-316-873-8677, Email:[email protected] ... The question is whether there is a way to re- verse this result and have superconductivity âwinâ the competition against CDW, by ... i. e. for superconductivity t
Oct 31, 2017 - 2H-TaS2 as an ideal platform to study the competition between CDW order and superconductivity. Transition metal dichalcogenides ... wave (CDW) order [2, 3], making it an ideal platform to study many-body ground states and ..... a gradu
Dec 2, 2011 - we use these functionals to obtain descriptions of the critical applied magnetic .... exactly the same physical state, in the sense that all physically .... which the magnetic field for the vortex-free minimizer is energetically optimal
1Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, USA. 2Landau .... history and real time if the spin system is in the ageing regime.
Nov 7, 2012 - as a Pomeranchuck instability , such as the Stoner ... Ï0(r)=2. â m0 p(r) = 0. (4) jÏ,i = 2. â p vp,im0 p(r)(1 +. Fa. 1. 2. ) = 1. 2 vf (1 +. Fa. 1. 2. ) ...
These results sug- gest that unconventional superconductivity appears in the metallic state with nearly ferromagnetic fluctuations, which play an important role for ... e.g. the sharp peak at 12.1 MHz arises from the Co site, in which one of the hydr
original works or to other review articles will be given. Choosing ... too will be reviewed. These two sections address much of what is now believed to be the very complex but âessential physicsâ of the high-Tc materials, presented here in a rath
Aug 23, 2013 - 1Department of Physics, Renmin University of China, Beijing 100872, China ... and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996-1200, USA ... dicate that different electronic degrees of freedom, both.
magnetically frustrated iron-based superconductor using spin-polarized scanning tunneling microscopy .... 2(c)]. This observation implies that the spin-polarized current induces randomly fluctuating SR with a flat ..... (c)[(d)] shows the tunneling s
In these systems the valence and magnetic critical points, at pv and pc ... +41-22-379-6366; fax: +41-22-379-6869; e-mail: [email protected] 1.
Feb 22, 2010 - (1), cks is the annihilation operator of the Kramers doublet of the heavy electrons which are formed ..... 4 L. P. Gor'kov and E. Rashba, Phys. Lett.
Interface-induced superconductivity and strain-dependent spin density wave in FeSe/SrTiO3 thin films S. Y. Tan,1, 2 M. Xia,1 Y. Zhang,1 Z. R. Ye,1 F. Chen,1 X. Xie,1 R. Peng,1 D. F. Xu,1 Q. Fan,1 H. C. Xu,1 J. Jiang,1 T. Zhang,1 X. C. Lai,2 T. Xiang,3 J. P. Hu,3 B. P. Xie,1, ∗ and D. L. Feng1, †
arXiv:1301.2748v1 [cond-mat.supr-con] 13 Jan 2013
State Key Laboratory of Surface Physics, Department of Physics, and Advanced Materials Laboratory, Fudan University, Shanghai 200433, People’s Republic of China 2 Science and Technology on Surface Physics and Chemistry Laboratory, Mianyang 621907, Sichuan, People’s Republic of China 3 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China (Dated: January 15, 2013) The record of superconducting transition temperature (T c ) has long been 56 K for the iron-based high temperature superconductors (Fe-HTS’s). Recently, in single layer FeSe films grown on SrTiO3 substrate, signs for a new 65 K T c record are reported. Here with in-situ photoemission measurements, we substantiate the presence of spin density wave (SDW) in FeSe films, a key ingredient of Fe-HTS that was missed in FeSe before, which weakens with increased thickness or reduced strain. We demonstrate that the superconductivity occurs when the electrons transferred from the oxygen-vacant substrate suppress the otherwise most pronounced SDW in single layer FeSe. Besides providing a comprehensive understanding of FeSe films and directions to further enhance its T c , we establish the phase diagram of FeSe vs. lattice constant that contains all the essential physics of Fe-HTS’s. With the simplest structure, cleanest composition and single tuning parameter, it is ideal for testing theories of Fe-HTS’s. PACS numbers: 74.25.Jb,74.70.Xa,79.60.-i,71.20.-b
FeSe is the simplest and arguably most environmentalfriendly Fe-HTS. The T c of bulk FeSe is only about 8 K (ref 1), however, it reaches as high as 37 K under pressure2 . Theoretically, a collinear 2 × 1 SDW order similar to that in the iron pnictides was predicted to be present in FeSe (ref 3). However, partly due to the lack of high quality single crystals, such SDW order was not found in FeSe or closely related compounds before, and little is known about its electronic structure. Only spin fluctuations around the SDW wave vector were found in Fe(Te,Se) by inelastic neutron scattering4 . The magnetic structure in its closest sibling compound, FeTe, is bicollinear5, different from the SDW order observed in the iron pnictides. Recently, in single layer FeSe thin films grown on SrTiO3 (STO) substrate by molecular beam epitaxy (MBE), both Scanning Tunnelling Spectroscopy (STS) and angle-resolved photoemission spectroscopy (ARPES) experiments have observed the largest superconducting gap in Fe-HTS’s6,7 , which likely closes above 65 K. Although further transport measurements are needed to confirm whether the long standing 56 K record of T c is broken, the remarkable properties of FeSe film, such as the role of the substrate and the superconducting mechanism, call for further exploration8. We have grown FeSe thin films layer by layer on STO substrate with MBE as described in the Methods sections, and it was transferred back and forth between the MBE chamber and the ARPES chamber under ultra high vacuum for the continuous in-situ growth and measurement of the electronic structure as a function of thickness. The electronic structures of FeSe thin films are presented in Fig. 1. Since the photoemission intensity at the Fermi energy (E F ) reflects the Fermi surface, one found that the Fermi surface of the 1 ML (monolayer) FeSe film is composed of four electron Fermi pockets at the zone corners (Fig. 1a1). It is similar to
the Fermi surface of the K x Fe2−y Se2 (ref 9), except that the small electron pocket around (0, 0, π) in K x Fe2−y Se2 is absent here. Fig. 1d shows the temperature dependence of the symmetrized photoemission spectrum taken at a Fermi crossing on the Fermi surface around M. The measured superconducting gap (∼ 15 meV) is larger than all the other known bulk ironbased superconductors, and it closes at a higher temperature of about 65 ± 5 K (Fig. 1e), confirming the previous ex-situ ARPES measurement7. This suggests a new record of high T c for Fe-HTS’s, assuming it is not a pseudo-gap. Intriguingly, the Fermi surface topology changes dramatically for the 2 ML film (Fig. 1a2). One not only observes the Fermi surface of the 1 ML film, but also a new “cross”like Fermi surface at the zone corner. Some spectral weight also appears at the zone center. When the third FeSe layer is grown, the 1 ML Fermi surface is hardly detected. As shown in Figs. 1a-1c, the electronic structures of multilayer FeSe films are qualitatively similar, but with subtle differences. The spectral weight at the zone center is contributed by several hole-like bands. They do not cross E F in the 2 ML film; with increased thickness, they become stronger and cross E F , and the hole pocket area increase slightly. The band structure near M is rather complicated, several bands cross and give four small electron pockets that make the cross shape. Such small pockets have been observed in BaFe2 As2 (ref 10), EuFe2 As2 (ref 11) in the SDW state. Low energy electron diffraction (LEED) pattern in Fig. 1f shows that there is no noticeably lattice or charge superstructures, thus the complicated electronic structure is not due to some band folding by charge ordering. In the photoemission intensity map of the 2 ML film (Fig. 1a2), the center of the circular Fermi surface mismatches the center of the cross-shaped Fermi surface, indicating the different Brillouin zone sizes for the two FeSe layers, and thus different in-plane lattice constant a along the Fe-Se-Fe
FIG. 1: The electronic structure of FeSe films as a function of thickness. a1-a6, The thickness dependence of the Fermi surface as represented by the photoemission intensity at the Fermi energy at 30 K. b, c, The thickness dependence of the band structure around (b1-b6) (0, 0) (cut #1) and (c1-c6) (π, 0) (cut #2) respectively. All data are taken at 30 K. d, Temperature dependence of the symmetrized EDC at the Fermi crossing of cut #2 for 1 ML FeSe film, where the closing of the gap is shown by the filling up the states at EF . e, The superconducting gap vs. temperature in 1 ML FeSe film. The gap is obtained following the standard fitting procedure described in ref. 9. f, LEED (low energy electron diffraction) patterns for 1 ML and 4 ML FeSe film respectively. g, The lattice constant a of the top FeSe layer as a function of film thickness, which is derived based on the photoemission maps in panels a1-a6.
direction. a could be derived from the inversed Brillouin zone size determined by high symmetry points of photoemission maps, and we found that the lattice constant of the 1 ML a 0
e STO (treated)
f 1ML FeSe
-80 -40 0 40 E-EF(meV) STO STO (treated) 1ML FeSe
j He lamp
Emission angle (deg.)
-80 -40 0 40 E-EF(meV)
Laser -0.2 -0.1
FIG. 2: Electronic structure evolution during the growth of 1 ML FeSe. a, b and c, The photoemission intensity taken around normal emission for (a) the STO substrate after degassing at 550 ◦ C for 3 hours, (b) STO substrate after 30 minutes heat treatment at 950 ◦ C under Se-flux, and (c) 1 ML FeSe respectively. Data were taken with 21.2 eV photons of a helium lamp. d, e and f are the same as panels a, b and c, except the data were taken with 7 eV photons from a laser. g, and h, The comparison of (g) the valence band spectra and (h) the spectra near EF taken with a helium lamp in the above three cases. i, The same as panel h except the data were taken with a 7 eV laser. The 1 ML FeSe data are amplifed ten times for clarity. j compares the 1 ML FeSe data taken with laser and helium lamp, after normalized at -0.1 eV. All data were taken at 30K.
film is severely expanded from the bulk value of 3.765 Å to 3.905 Å enforced by the STO lattice. With increased film thickness, a relaxes rapidly (Fig. 1g), and reaches the bulk value at 35 ML and above. The Fermi surface, band dispersion, and even superconducting gap of the interfacial layer measured on the 2 ML film are the same as those measured on the 1 ML film (Figs.1a21c2), which indicates that the electronic structure of the interfacial FeSe layer is not affected by the surface FeSe layer. Therefore, the interlayer coupling and charge transfer is very weak between them. As an expected consequence of the weak coupling and its stoichiometry, the top layer is charge neutral within 0.01e− per Fe accuracy based on the calculated Luttinger volume. Therefore, the 0.12 e− excessive electrons per Fe [derived from the Luttinger volume assuming the electron pockets are made of two degenerate ones like those of K x Fe2−y Se2 (ref 9)] in the bottom FeSe layer is an interfacial effect. Based on the LEED pattern in Fig. 1f, the 1 ML film are of high quality, and there is no sign for any ordering of Se vacancies, consistent with the STM measurements6. Therefore the excessive electrons should come from the substrate. To answer how such charge transfer is induced at the interface8 , we have taken the photoemission data at the end of each of the three stages during the growth of 1 ML FeSe film (Fig. 2). The STO substrate was first degassed in ultra high vacuum at 550 ◦C for 3 hours; then it was further heat-treated at 950 ◦C under Se-flux for 30 minutes; and finally 1 ML FeSe was grown on the substrate. At the end of the first stage, the photoemission data are insulator-like, no states are detected near E F as shown in Fig. 2a (taken with 21.2 eV photons)
0.4 -0.4 d
0.4 -0.4 e
-0.2 30K -0.4
135K 0.4 -0.4
135K 0.4 -0.4
Γ k// (Å-1)
FIG. 3: Temperature dependence of the electronic structure for the 50 ML FeSe film. a and b, (a1-a7) The photoemission intensity and (b1-b7) the corresponding second derivative with respect to energy around (π, 0). c, The second derivative of the EDC at (π, 0). The dip of the second derivative could highlight the band position more clearly. d and e, The electronic structure and the corresponding second derivative with respect to energy around (0, 0) at 30 K and 135 K respectively. f, The photoemission intensity map at 30 K and 135 K respectively. g, The calculated band structure of FeSe3 , the thickened part of the bands have been observed in our data.
and Fig. 2d (taken with 7 eV photons). In the second stage, it is known that STO loses oxygen at high temperatures12, and metallic conductivity was observed for STO annealed in vacuum at 800 ◦C 13 . The Se-flux acts as a cleaning agent during this stage, and no Se would be adsorbed at such high temperature. Metal-like Fermi step without momentum dependence is observed after the second stage (Figs. 2b and 2e), mimicking the typical photoemission spectrum taken on polycrystalline gold. The electrons in these states are most likely caused by the oxygen vacancies. After the 1 ML FeSe was deposited, Figs. 2c, and 2f show the typical dispersion of FeSe film. To identify the destiny of the non-dispersive STO states, Fig. 2g compares the valence bands taken at normal emission after these three stages. The features around -4.5 and -6.7 eV are the STO valence states, which were taken at the same condition and their intensities are comparable. Therefore, the photoelectrons from the substrate are not reduced noticeably by the top FeSe layer, thus the non-dispersive STO states would have been observed if they still exist after 1 ML FeSe is deposited. However, in Fig. 2h, the Fermi step is clearly absent in the 1 ML data. The more bulk-sensitive photoemission data taken with 7 eV laser shows this contrast more clearly in
Fig. 2i. As the charge has to be conserved, we conclude that the electrons in the localized oxygen-vacancy-induced states are transfered to the FeSe layer, and thus are responsible for the electron doping in 1 ML FeSe. A weak but dispersive band just below E F becomes visible in the laser data in Fig. 2f, and it dominates the spectral weight in the first 40 meV below E F . Since compared with the Fermi step intensity of the oxygen vacancy states, the relative intensity of the weak dispersive feature is much weaker in the more bulk sensitive laser data than that in the Helium lamp data. Therefore, it can not be from STO. In fact, it is visible in the Helium lamp data as well when the spectra are normalized at low energies (Fig. 2j), but was missed in the previous ex-situ ARPES study7 . Moreover, because its dispersion is different from the hole-like band in the 2 ML film, it should not be contributed by the appearance of small 2 ML FeSe regions. Judging from its intensity, it is likely made of the d xy orbital, whose photoemission matrix element is weak near the zone center, while the stronger band at -0.1 eV is made of d xz /dyz orbitals. For the multi-layer FeSe films, the complicated electronic structure around the zone corner in Figs. 1a2-a6, and 1c2-
The band reconstructions observed in the 50 ML film have been observed in all the films with more than 1 ML thickness (their data are presented in the supplementary Figs. S1-S5). Using the temperature dependence of the EDC’s at (π, 0) as representative, Fig. 4 examines how such signature of SDW order evolves with film thickness. As found similarly to Fig. 3c, the two features merge into one above the temperature T A in all cases (Figs. 4a-4e). The band separation saturates at low temperatures, and Fig. 4f collects EDC’s at (π, 0) taken at 30 K. As summarized in Fig. 4g, the maximal separation decreases with increasing thickness, and asymptotically reaches a constant above 35 ML. Such separation characterizes the strength of the SDW order23, thus as expected, T A also decreases and becomes flat in the thick films. In Fig. 4h, the relation between the maximal band separation and T A is shown together with all those existing ones measured on the SDW state of various iron pnictides16,17,24,25 . The band sep-
190 175 165
3 ML -100
155 145 115 65 30 13 ML 0 -100
185 175 165 155 145 135 105 65 30 15 ML 0 -100
35 ML 25 ML 15 ML
6 ML 4 ML
-200 -100 E-EF(meV)
T(K)= 155 135 125
125 115 105 94
54 30 25 ML -100
54 30 35 ML -100
115 105 94 54 30 0
h NaFe0.9825Co0.0175As NaFeAs Sr0.82K0.18Fe2As2 BaFe2As2 Sr0.9K0.1Fe2As2 CaFe2As2 SrFe2As2 FeSe film
Band separation (meV)
Band separation (meV)
165 145 135
c6 is different from that of Fe(Te,Se) (ref 14), but it is very similar to those observed in BaFe2 As2 (ref 10) and NaFeAs (ref 15) in their SDW state. In fact, such dramatic electronic reconstruction has been proven to be the experimental hallmark of the SDW or collinear antiferromagnetic order formation in all iron pnictides before10,11,15–20 , and has been reproduced by dynamic mean field theory band calculations21,22 . Such a electronic structure would disappear in the nonmagnetic state. To examine this, Fig. 3 presents the temperature dependence of electronic structure of the 50 ML film. Indeed, with increasing temperature, the separated bands gradually become degenerate again above 125 K (Figs. 3a and 3b). Such a band separation has been shown to be caused by the different dispersions along the FM and AFM direction of the SDW order in BaFe2 As2 (ref 10) and NaFeAs (ref 15). Since photoemission is a very fast probe, it could sense the shortranged nematic fluctuations or SDW that emerges at a higher characteristic temperature T A than the static ordering temperature T N observed by neutron scattering15,17,18,20 . Therefore, our results prove that at least short-ranged SDW exists in the 50 ML FeSe thin films below 125 K. Practically, T A is the temperature that the separated bands become degenerate, and here it could be determined by the merging of two dips in the second derivative of the EDC at (π, 0) in Fig. 3c. On the other hand, we found that the band structure near zone center does not change much across the transition, and band folding due to SDW is not observed (Fig. 3d). The SDW-induced folding is often very weak for iron pnictides, which is likely caused by the lack of long range coherence. Consequently, the Fermi surface is more strongly reconstructed near the zone corner (Fig. 3f). At high temperatures, the band structure of the 50 ML FeSe film is determined from the second derivative of the photoemission data with respect to energy (Figs. 3e and 3b7), which shows a qualitative agreement with the calculation of bulk FeSe in the nonmagnetic state (Fig. 3g). The band renormalization factor is about 2∼3, similar to those of most iron pnictides. Since high qualty FeSe single crystal was not available, and particularly, the natural crystal surface is the (110) plane, it was very difficult to obtain the electronic structure of bulk FeSe. Our data on the thick film give the first experimental bulk electronic structure of FeSe.
Film thickness (ML)
FIG. 4: Thickness dependence of the SDW behavior for the multi-layer FeSe films. a-e, Temperature evolution of the spectral lineshape at M for various thicknesses. The two bands merge above a characteristic temperature T A . f, The maximal band separation for various thickness. g, Band separation and T A as a function of thickness. h, Band separation as a function of T A . The dashed line is a guide for the eyes.
aration follows T A rather linearly in bulk samples. For FeSe films, the amplitude of band separation is slightly smaller than those of the iron pnictides, and there is a monotonic but nonlinear correlation between T A and band separation. For many iron pnictides such as BaFe2 As2 (refs 10,16,19), T A and T N coincide with the structural transition temperature T S , however, for compounds like NaFeAs (ref 15), T A > T S > T N . Since the T S is about 105 K for bulk FeSe (ref 1), and T A of the thick films are about 125 K, we expect FeSe follows the latter case, namely, T N is somewhere below T S . This certainly needs to be confirmed by more direct measurements in the future. Our results in Fig. 3 indicate that the SDW order exists in thick FeSe films. The T A determined for the thick films (∼ 125 K) agree well with the ∼130 K temperature scale determined by recent static and transient optical spectroscopies on 460 nm thick (1,0,1) FeSe film grown on MgO substrate26 , where the phase transition nature was associated with nematicity-induced orbital or charge ordering above the structural transition. Our data suggest that the optical data could be attributed to the SDW fluctuations/ordering in FeSe. The large electronic structure reconstruction observed here explains the spectral weight transfer and partial gap opening in the optical data. In fact, the density functional theory calculations by Ma and coworkers3 have shown that the ground state of bulk FeSe is in the SDW state, instead of the bi-collinear antiferromagnetic order as for FeTe, because the third nearest
FeSe crystal Increasing hydrostatic pressure
FeSe/STO film Increasing thickness FeSe (films)
140 120 SDW
Lix(NH2)y(NH3)1-y Fe2 Se2 KFe2Se2
Lattice constant a (Å)
FIG. 5: Phase diagram of FeSe. The T c and T A for FeSe are ploted against the lattice constants. The right side is based on our thin film ARPES data, and the left side is based on the transport data of FeSe single crystal under hydrostatic pressure taken from ref. 2. The dashed line represents the extrapolated T A ’s, suggesting the existence of SDW order in bulk FeSe under pressure. T c for other iron selenides are also plotted in the elliptical region.
neighbor antiferromagnetic exchange interaction mediated by the 4p bands of Se is much smaller than that in FeTe. Our results substantiate this prediction. The asymptotic behavior in the thick films indicate that the film property is similar to its bulk behavior when the lattice is relaxed to its bulk value. Therefore the thickness dependence is actually a negative pressure (tensile strain) dependence of the FeSe system. In Fig. 5 we plot the phase diagram of FeSe as a function of lattice constant, together with the bulk FeSe phase diagram under hydrostatic pressure2 , where the T c maximum is 37 K at 7 GPa. The resulting phase diagram possesses all the same generic features as those of the iron pnictides, eg., superconductivity arises when the SDW is weakened, except the tuning parameter is lattice constant instead of doping. Particularly, it resembles the phase diagram of BaFe2 (As1−x P x )2 (ref 27), Ba(Fe1−x Ru x )2 As2 (ref 28), where physical or chemical pressure could induce similar effects. Several other FeSe based superconductors have been plotted on the same phase diagram, K x Fe2−y Se2 (ref 9) and Li x (NH2 )y (NH3 )1−y Fe2 Se2 (ref 29) are heavily electron-doped, like the 1 ML FeSe/STO. Intriguingly,
∗ † 1
the electronic structure of the 1 ML FeSe film resembles that of K x Fe2−y Se2 . We speculate that the T c of K x Fe2−y Se2 could have been much higher and closer to the dash-dotted line, if were not for its severe phase separation30,31 . The general trend here suggests that higher T c could be achieved in heavily electron doped FeSe compound that has larger lattice constant.
Electronic address: [email protected] Electronic address: [email protected] Hsu, F. C. et al. Superconductivity in the PbO-type structure αFeSe. PNAS 105, 14262–14264 (2008). Medvedev, S. et al. Electronic and magnetic phase diagram of βFe1.01 Se with superconductivity at 36.7 K under pressure. Nature Mater 8, 630-633 (2009). Ma, F. et al. First-principles calculations of the electronic structure of tetragonal α-FeTe and α-FeSe crystals:evidence for a bicollinear antiferromagnetic order. Phys. Rev. Lett 102, 177003
In the STM studies of the FeSe thin films6 , it was surprising that the 1 ML FeSe is superconducting with high T c , while the 2 ML FeSe layer appears “semiconducting” with much reduced density of states at E F . Besides the weak coupling between these two layers, the main reason is the strong appearance of SDW order in the surface FeSe layer, which strongly reconstructs the electronic structure and causes a suppression of spectral weight at E F . Moreover, it eliminates any proximity of the superconductivity from the interfacial superconducting FeSe layer. Because the SDW order is enhanced with the increasing lattice constant in thinner films, it is reasonable to deduce that if the 1 ML FeSe were not so heavily doped by electrons transferred from the substrate, it would have been in the strongest SDW state. In agreement with our results, a recent first-principal density functional calculations show that the ground state of 1 ML FeSe is a SDW state if it is undoped32. The same calculation also suggested that the 2 ML film is a slightly doped narrow gap semiconductor. To summarize, we have shown that the property of FeSe is sensitive to the lattice, which provides a clean canonical system to study iron-based high superconductors. We have provided compelling evidence for SDW order (at least shortranged SDW order) in FeSe thin films and established the phase diagram of the FeSe system similar to the iron pnicides. The bulk FeSe electronic structure is revealed. Our in situ measurements not only confirm the possible ∼65 K superconductivity in the 1 ML FeSe film, but also show that the superconductivity of 1 ML FeSe is induced, when the SDW in it is suppressed by the charge transferred from the oxygen vacancy states of the substrate. We suggest that one might further enhance T c by expanding the lattice and/or optimizing the electron concentration via optimized substrate preparation. Moreover, establishing the simplest possible and prototypical model system is often a critical step toward understanding complex phenomena in condensed matter physics; by identifying the missing SDW in FeSe and its evolution with lattice constant, we show that FeSe is the simplest/cleanest model system for studying Fe-HTS.
(2009). Phelan, D. et al. Neutron scattering measurements of the phonon density of states of FeSe superconductors. Phys. Rev. B 79, 014519 (2009). Li, S. L. et al. First-order magnetic and structural phase transition in Fe1+y Sex Te1−x . Phys. Rev. B 79, 054503 (2009). Wang, Q. Y. et al. Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3 . Chin. Phys. Lett 29, 037402 (2012). Liu, D.F. et al. Electronic origin of high-temperature supercon-
ductivity in single-layer FeSe superconductor. Nat. Commun 3, 931 (2012). Xiang, Y. Y. et al. High-temperature superconductivity at the FeSe/SrTiO3 interface. Phys. Rev. B 86, 134508 (2012). Zhang, Y. et al. Nodeless superconducting gap in Ax Fe2 Se2 (A=K,Cs) revealed by angle-resolved photoemeission spectroscopy. Nature Mater 10, 1038 (2011). Yang, L. X. et al. Electronic structure and unusual exchange splitting in the spin-density wave state of BaFe2 As2 parent compound of ion based superconductors. Phys. Rev. Lett 102, 107002 (2009). Zhou, B. et al. High-resolution angle-resolved photoemission spectroscopy study of the electronic structure of EuFe2 As2 . Phys. Rev. B 81, 155124 (2010). Zvanut, M. E. et al. An annealing study of an oxygen vacancy related defect in SrTiO3 substrates. J. Appl. Phys 104, 064122 (2008). Szot, K., Speier, W., Carius, R., Zastrow, U. & Beyer, W. Localized metallic conductivity and self-healing during thermal reduction of SrTiO3 . Phys. Rev. Lett 88, 075508 (2002). Tamai, A. et al. Strong electron correlations in the normal state of the ion-based FeSe0.42 Te0.58 superconductor observed by angleresolved photoemission spectroscopy. Phys. Rev. Lett 104, 097002 (2010). He, C. et al. Electronic-structure-driven magnetic and structure transitions in superconducting NaFeAs single crystals measured by angle-resolved photoemission spectroscopy. Phys. Rev. Lett 105, 117002 (2010). Zhang, Y. et al. Unusual doping dependence of the electronic structure and coexistence of spin-density-wave and superconductor phase in single crystalline Sr1−x Kx Fe2 As2 . Phys. Rev. Lett 102, 127003 (2009). Zhang, Y. et al. Symmetry breaking via orbital-dependent reconstruction of electronic structure in detwinned NaFeAs. Phys. Rev. B 85, 085121 (2012). Zhang, Y. et al. Strong correlations and spin-density-wave phase induced by a massive spectral weight redistribution in α-Fe1.06 Te. Phys. Rev. B 82, 165113 (2010). Yi, M. et al. Symmetry-breaking orbital anisotropy oberved for detwinned Ba(Fe1−x Cox )2 As2 above the spin density wave transition. PNAS 108, 6878-6883 (2011). Yi, M. et al. Electronic reconstruction through the structural and magnetic transitions in detwinned NaFeAs. New J. Phys. 14, 073019 (2012). Yin, Z. P., Haule, K. & Kotilar, G. Magnetism and charge dynamics in iron pnictides. Nature Phys 7, 294-297 (2011). Yin, Z. P., Haule, K. & Kotilar, G. Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides. Nature Mater 10, 932-935 (2011). Jiang, J. et al. The distinct in-plane resistivity anisotropy in the nematic states of detwinned NaFeAs and FeTe single crystals: evidences for Hund’s rule metal. Preprint at http://arxiv.org/abs/1210.0397 (2012). Yi, M. et al. Unconventional electronic reconstruction in undoped (Ba,Sr)Fe2 As2 across the spin density wave transition. Phys. Rev. B 80, 174510 (2009). Ge, Q. Q. et al. Anisotropic but nodeless superconducting gap in the presence of spin density wave in ion-pnictide superconductor NaFe1−x Cox As. Preprint at http://arxiv.org/abs/1209.1967 Wen, Y. C. et al. Gap opening and orbital modification of superconducting FeSe above the structural distortion. Phys. Rev. Lett 108, 267002 (2012). Kasahara, S. et al. Evolution from non-Fermi-to Fermi-liquid transport via isovalent doping in BaFe2 (As1−x P x )2 superconductor. Phys. Rev. B 81, 184519 (2010).
Albenque, F. R. et al. Hole and electron contributions to the transport properties of Ba(Fe1−x Rux )2 As2 single crystals. Phys. Rev. B 81, 224503 (2010). Matthew, B. L. et al. Enhancement of the superconducting transition temperature of FeSe by intercalation of a molecular spacer layer. Nature Mater 28, 3464 (2012). Sun, L. L. et al. Re-emerging superconductivity at 48 kelvin in iron chalcogenides. Nature 483, 67-69 (2012). Chen, F. et al. Electronic identification of the parental phase and mesoscopic phase separation of Kx Fe2−y Se2 superconductors. Phys. Rev. X 1, 021020 (2011). Liu, K., Lu, Z. Y. & Xiang, T. Atomic and electronic structures of monolayer and bilayer thin films on SrTiO3 (001): First-principles study. Phys. Rev. B 85, 235123 (2012).
Methods: FeSe thin film was grown on the TiO2 terminated and Nbdoped SrTiO3 (0.5% wt) substrate with the molecular beam epitaxy (MBE) method following the previous report(ref 6). The substrate was first ultra-sonically-cleaned by using deionized water, followed by drying in N2 gas flow. This produces a surface of strontium hydroxide. Then it was subsequently etched with buffered-oxide etchant in order to remove the strontium hydroxide and form a TiO2 terminated surface. After that, annealing treatment in air at 950 ◦C for 2 hours was carried out. Further cleaning by trichloroethylene was needed to remove any dust before loading the substrate into the growth chamber with a base pressure of 5x10−10 mbar. In vacuum, the substrate was degassed at 550 ◦C for 3 hours, and then heated to 950 ◦C under the Se flux for 30 minutes. During growth, the substrate was kept at 490 ◦C with the selenium flux twenty times more than the Fe flux by co-deposition. The film thickness was monitored by crystal oscillator and confirmed by x-ray reflectivity measurements. After growth, the film was annealed at 600 ◦C for 3 hours, and directly transferred into the ARPES chamber with a typical vacuum of 1.2x 10−11 mbar. ARPES was conducted with 21.2 eV photons from a helium discharge lamp, and a 7 eV laser. With a SCIENTA R4000 analyser, energy resolutions of 6 meV (lamp) and 4 meV (laser) and an angular resolution of 0.3◦ were achieved. Aging effects were strictly monitored during the measurement. Acknowledgement: We gratefully acknowledge Prof. Qikun Xue, Xi Chen and Dr. Wei Li for sharing their thin film growth procedures, Prof. Zhongyi Lu for the file of FeSe band structure, and the enlightening discussion with Prof. Chandra Varma. This work is supported in part by the National Science Foundation of China, and National Basic Research Program of China (973 Program) under the grant Nos. 2012CB921400, 2011CB921802, 2011CBA00112, 2011CB309703. Author contributions: S.Y.T., M.X., X.X., D.F.X., H.C.X., and R.P. built the MBE system and grew the films, S.Y.T., Y.Z., Z.R.Y., F.C., Q.F., J.J. and B.P.X. performed ARPES measurements. S.Y.T., D.L.F., Y.Z., Z.R.Y., T.Z., T.X. and J.P.H. analyzed the ARPES data. D.L.F. wrote the paper. D.L.F. and X.C.L. are responsible for the infrastructure, project direction and planning. Additional Information: The authors declare no competing financial interests. Correspondence and requests for materials should be addressed to D.L.F. ([email protected]).