Neutron scattering of iron-based superconductors

Low-energy spin excitations have been studied on polycrystalline LaFeAsO_1?xF_x samples by inelastic neutron scattering. The Q-integrated dynamical spin susceptibility χ″(ω) of the superconducting samples is found to be comparable to that of the magnetically ordered parent sample. On the other hand, χ″(ω) almost vanishes at x = 0.158, where the superconducting transition temperature T_c is suppressed to 7 K. In addition, χ″(ω) in optimally doped LaFeAsO_0.918F_0.082 with T_c = 29 K exhibits a spin resonance mode. The peak energy, E_res, when scaled by k_BT_c is similar to the value of about 4.7 reported in other high-T_c iron-based superconductors. This result suggests that there is intimate relationship between the dynamical spin susceptibility and high-T_c superconductivity in iron-based superconductors, and is consistent with a nesting condition between Fermi surfaces at the Γ and M points.     

Current status of iron-based superconductors

Current status of iron-based superconductors is summarized. Although short range magnetic ordering and magnetic phase separation of Fe are controversial, (long range) magnetic and electronic phase diagrams of iron based superconductors can be classified into two-type. Antiferromagnetic ordering of itinerant Fe does not coexist with superconducting phase of SmFeAsO_1???xF_x. The very large H _c2 of iron-based superconductors attract us to attempts at applications.     

Effects of transition-metal substitution in the iron-based superconductor LaFeAsO: Momentum- and real-space analysis from first principles

We study how transition-metal substitution changes the electronic structure of the iron-based superconductor LaFeAsO in real and momentum space. We first perform ab initio density functional calculation for various sizes of supercells with one transition-metal impurity. For various substitutes (Mn, Co, Ni, Zn, and Ru), we derive effective tight-binding models by constructing the maximally localized Wannier functions from the d bands around the Fermi level. The local electronic structure around the impurity site is quantitatively characterized by their onsite potential and transfer hoppings to neighboring sites. We find that the impurities are classified into three groups according to the derived parameters. For Mn, Co, and Ni, their impurity 3d levels measured from the Fe 3d level are ～0.3, ?0.3, and ?0.8 eV, respectively, while, for the Zn case, its d level is extremely deep as ～8 eV. For the Ru case, although the onsite-level difference is much smaller (～O(0.1) eV), the transfer integrals around the impurity ion are larger than those of the pure system by 20% ～ 30%, due to the large spatial spread of the Ru 4d orbitals. We also show that the charge distribution of the extra d electrons is confined around the impurity ion. We then unfold the first Brillouin zone (BZ) for the supercell to calculate the spectral function in the BZ for the normal cell for the case of Co and Ni doping. While the charge distribution seems to suggest that Co and Ni impurities do not change the amount of mobile carriers in the system, the momentum-space analysis clearly shows that the Fermi-surface volume indeed expands by Co and Ni substitutions, which can be well described by the rigid-band shift approximation.     

铁基超导体的输运性质

在铁基超导体中存在着多种有序态,例如电子向列相和自旋密度波等,从而呈现出丰富的物理现象.输运性质的测量能为认识铁基超导体的低能激发提供极为有用的信息.铁砷超导体由于其电子结构的多能带特性,其电阻率和霍尔系数与温度的关系出现多样性的变化,但在正常态并没有看到有类似铜氧化物超导体的赝能隙打开等奇异行为.在空穴型掺杂的铁基超导体中观测到霍尔系数在低温下变号,对应温区的电阻率上出现一个很宽的鼓包等,可能是从非相干到相干态的转变.热电势行为也表现出与铜氧化物超导体的明显差异,比如铁基超导体的正常态热电势的绝对值反而在最佳掺杂区是最大的,这也许跟强的带间散射有关.能斯特效应表明铁基超导体在Tc以上的超导位相涨落并不明显,与铜氧化物超导体存在明显差别.在铁基超导体上所显示出来的这些反常热电性质,并没有在类似结构的镍基超导体(如LaNiAsO)上观测到,镍基超导体表现得更像一个通常的金属.这些均说明铁基超导体的奇异输运性质与其高温超导电性存在内在的关联,这些因素是建立其超导机理时需要考虑进去的.     

A few points on iron-based superconductors

We highlight a few points on iron-based superconductors in this paper. Experimental evidence for intrinsic inhomogeneity and phase separation in Fe-based superconductors is reviewed first. The non-BCS feature and other similarities between the Fe-based superconductors and the cuprates are also presented. The pressure effect on the FeSe-based superconductors observed recently is then discussed in terms of the interplay between superconducting transition temperature and structural characters. It is suggested that there is room for exploring new superconductors with higher transition temperature and that the improvement on the sample quality is necessary for further investigation on the superconducting mechanism.     

Critical temperature of transition-metal alloy superconductors

We calculate the critical temperature T_c of a superconducting transition-metal alloy using an ansatz of Kerker and Bennamann, but in contrast to that of Kerker and Bennamann our approximation does not violate the time reversal and spin rotation symmetries.     

First-principles calculations for anisotropy of iron-based superconductors

We perform first-principles calculations for anisotropy of various iron-based superconductors. The anisotropy ratio γ_λ of the c-axis penetration depth to the ab-plane one is relatively small in BaFe₂As₂, LiFeAs and FeSe, indicating that the transport applications are promising in these superconductors. On the other hand, in those having perovskite-type blocking layers such as Sr₂ScFePO₃ we find a very large value, γ_λ ? 200, comparable to that in strongly anisotropic high-T_c cuprate Bi₂Sr₂CaCu₂O_8−δ. Thus, the intrinsic Josephson junction stacks are expected to be formed along the c-axis, and novel Josephson effects due to the multi-gap nature are also suggested in these superconductors. We also examine the doping effect on the anisotropy of LaFeAsO.     

铁基超导体的微结构和结构相变研究

铁基超导体表现出丰富的结构和物理性质,在多个典型体系中存在着结构相变和多重有序态之间的关联与竞争.例如,母相化合物LaFeAsO在150K附近发生从四方相（P4/nmm）到正交相（Cmma）的结构相变,同时其电输运性质和磁化率也表现出明显的反常行为.微结构分析发现,在CaFe2As2样品中,存在准周期调制结构,而且在低温区,122体系存在丰富的孪晶畴结构,这种孪晶结构是结构相变的直接结果.另外,在超导材料KxFe2-ySe2（0.7≤x≤0.8,0.2≤y≤0.4）中,Fe空位有序态和结构相分离是理解其结构,也是理解其磁性和输运性质的关键问题,特别是沿[130]晶体带轴方向的5倍超结构与系统的超导电性存在密切关系.     

Microstructure and structural phase transitions in iron-based superconductors

Crystal structures and microstructural features, such as structural phase transitions, defect structures, and chemical and structural inhomogeneities, are known to have profound effects on the physical properties of superconducting materials. Recently, many studies on the structural properties of Fe-based high-Tc superconductors have been published. This review article will mainly focus on the typical microstructural features in samples that have been well characterized by physical measurements. （i） Certain common structural features are discussed, in particular, the crystal structural features for different superconducting families, the local structural distortions in the Fe2Pn2 （Pn = P, As, Sb） or FeeCh2 （Ch = S, Se, Te） blocks, and the structural transformations in the 122 system. （ii） In FeTe（Se） （11 family）, the superconductivity, chemical and structural inhomogeneities are investigated and discussed in correlation with superconductivity. （iii） In the Ko.sFe1.6＋xSe2 system, we focus on the typical compounds with emphasis on the Fe-vacancy order and phase separations. The microstructural features in other superconducting materials are also briefly discussed.     

Angle-resolved photoemission spectroscopy study on iron-based superconductors

Angle-resolved photoemission spectroscopy （ARPES） has played an important role in determining the band structure and the superconducting gap structure of iron-based superconductors. In this paper, from the ARPES perspective, we briefly review the main results from our group in recent years on the iron-based superconductors and their parent compounds, and depict our current understanding on the antiferromagnetism and superconductivity in these materials.     

Crystal chemistry and structural design of iron-based superconductors

The second class of high-temperature superconductors （HTSCs）, iron-based pnictides and chalcogenides, necessarily contain Fe2X2 （＂X＂ refers to a pnictogen or a chalcogen element） layers, just like the first class of HTSCs which possess the essential CuO2 sheets. So far, dozens of iron-based HTSCs, classified into nine groups, have been discovered. In this article, the crystal-chemistry aspects of the known iron-based superconductors are reviewed and summarized by employing ＂hard and soft acids and bases （HSAB）＂ concept. Based on these understandings, we propose an alternative route to exploring new iron-based superconductors via rational structural design.     

Low-magnetic moment and strong anisotropy in non-doped iron-based superconductors

We perform first-principles calculations with a specific LDA + U scheme for non-doped iron based superconductor LaFeAsO, which exhibits an antiferromagnetic ordering with an unexpected low-magnetic moment compared to the one predicted by standard first-principles calculations. Consequently, we find two stable electronic structures, one of which has the high magnetic moment ～2.0 μ_B equivalent with the previous calculation results, and another of which reproduces the low magnetic moment ～0.3 μ_B as obtained experimentally. The former is stable in U = 0, whereas the latter becomes stable in an intermediate U range. The latter well explains various anomalous features as observed experimentally.     

Electronic Raman spectra in iron-based superconductors with two-orbital model

Electronic Raman spectra in iron-based superconductors with two-orbital model is discussed. In the orbital space, some possible pairing symmetries of the gap are selected. To further discriminate them, electronic Raman spectra and spectra weight at Fermi surface (FS) which helps understand the Raman spectra are calculated in each case. From the low energy threshold, the number of Raman peaks, and the low frequency power law behavior, we can judge whether it is full gap or nodal gap, and even one gap or multi-gaps. The results provide useful predictions for comparison with experiments.     

Spin fluctuations and unconventional superconducting pairing in iron-based superconductors

In this article, we review the recent theoretical works on the spin fluctuations and superconductivity in iron-based superconductors. Using the fluctuation exchange approximation and multi-orbital tight-binding models, we study the char- acteristics of the spin fluctuations and the symmetries of the superconducting gaps for different iron-based superconductors. We explore the systems with both electron-like and hole-like Fermi surfaces （FS） and the systems with only the electron-like FS. We argue that the spin-fluctuation theories are successful in explaining at least the essential part of the problems, indicating that the spin fluctuation is the common origin of superconductivity in iron-based superconductors.     

Observation of mode-like features in tunneling spectra of iron-based superconductors

We report scanning tunneling microscopy/spectroscopy(STM/STS) studies on iron-based superconductors of Ba1-xKx Fe2As2 and nearly optimally doped Fe(Te,Se). Mode-like features were observed universally outside the superconducting gaps in the tunneling spectra, which are similar to our previous observations in other samples and can be ascribed to the interaction between electrons and spin excitations. Furthermore, an almost linear relationship between the superconducting gaps and the superconducting transition temperatures was noted and should also be taken into account in understanding the mechanism of iron-based superconductors.     

新型铁基超导体角分辨光电子能谱研究

最近发现的新型122结构的铁基超导体掀起了铁基高温超导研究的又一轮热潮.文章利用角分辨光电子能谱实验手段,研究了这类新型铁基材料的电子结构、费米面拓扑和超导能隙.实验结果表明,其在布里渊区中心的能带结构及费米面与其他铁基超导体存在明显差异,并导致嵌套在粒子-空穴通道的费米面消失.另外,在布里渊区边缘的电子型费米面发现了较强的并且有各向同性的超导能隙.这些结果对可能的超导配对机制提出了严格的限制.     

Gigantic uniaxial pressure effect in single crystals of iron-based superconductors

In order to elucidate the anisotropic pressure effect on superconductivity in an iron-based superconductor, magnetization measurements have been performed in Ba(Fe_0.92Co_0.08)₂As₂ single crystals under uniaxial pressures applied along the c-axis. Gigantic T_c suppression, dT_c/dP_//c = −15 K/GPa, was observed when the anisotropic deformation with the a-expansion and c-compression was induced by the c-pressure, which should be compared with dT_c/dP < +1 K/GPa in the isotropic pressure case. This suggests that the a-axis (c-axis) compression has a positive (negative) contribution to T_c.     

Review of nuclear magnetic resonance studies on iron-based superconductors

The newly discovered iron-based superconductors have triggered renewed enormous research interest in the condensed matter physics community. Nuclear magnetic resonance （NMR） is a low-energy local probe for studying strongly correlated electrons, and particularly important for high-Tc superconductors. In this paper, we review NMR studies on the structural transition, antiferromagnetic order, spin fluctuations, and superconducting properties of several iron-based high-Tc superconductors, including LaFeAsOl_xFx, LaFeAsOl_x, BaFe2As2, Bal_xKxFe2As2, Cao.23Nao.67Fe2As2, BaFe2（Asl_xPx）2, Ba（Fel_xRux）2As2, Ba（Fel_xCox）2As2, Lil＋xFeAs, LiFel_xCoxAs, NaFeAs, NaFel_xCoxAs, KyFe2_xSe2, and （T1,Rb）yFe2_xSe2.     

First-principles study of light-element doping effects on iron-based superconductors

First-principles calculations are performed for hydrogen-doped iron-based superconductors, LaFeAsOH_x, which exhibits higher transition temperature than hydrogen-free LaFeAsO. We find that hydrogen atoms favor the positions near FeAs layers and induce FeAs₄ tetrahedrons to regular ones, which are considered to bring about higher transition temperature. However, hydrogen doping more than x ～ 0.25 breaks typical Fermi surface and therefore we estimate the optimal doping as x ～ 0.2.