We investigate the effect of a spin-density wave (SDW) on $s_{\pm}$ superconductivity in Fe-based superconductors. We show that, contrary to the common wisdom, no nodes open at the new, reconnected Fermi surfaces when the hole and electron pockets fold down in the SDW state, despite the fact that the $s_{\pm}$ gap changes sign between the two pockets. Instead, the order parameter preserves its sign along the newly formed Fermi surfaces. The familiar experimental signatures of an $s_{\pm}$ symmetry are still preserved, although they appear in a mathematically different way. For a regular $s$ case ($s_{++})$ the nodes do appear in the SDW state. This distinction suggests a novel simple way to experimentally separate an $s_{\pm}$ state from a regular $s$ in the pnictides. We argue that recently published thermal conductivity data in the coexisting state are consistent with the $s_{\pm},$ but not the $s_{++}$ state.
In several members of the pnictide materials, spin density wave order coexists with superconductivity over a range of dopings and temperature. In this paper we show that odd-frequency superconductivity emerges on the edges of pnictides in such a coexistence phase. In particular, the breaking of spin-rotation symmetry by SDW and translation symmetry by the edge can lead to the development of odd-frequency spin-triplet Cooper pairing on edges of superconducting pnictide samples. In this case, the odd-frequency pairing has even parity components, which are immune to disorder. Our results show tha…
Coexistence of magnetic fluctuations and superconductivity in the pnictide high temperature superconductor SmFeAsO$_{1-x}$F$_{x}$ measured by muon spin rotation
对磷属元素高温超导体SmFeAsO $_{1-x}$ F $_{x}$(x=0.18和0.3)进行了μ子自旋转动实验。我们观察到在超导附近的慢自旋涨落的异常增强,这表明自旋涨落有助于非常规超导态的形成。获得了面内穿透深度$λ_{ab}(0)=190(5)$ \thinspace nm的估计,这证实了磷属元素化物超导体在$T_{\mathrm{c}}$和$λ_{ab}(0)^{-2}$之间服从Uemura式关系。
Coexistence of antiferromagnetic and ferromagnetic spin correlations in Ca(Fe1-xCox)2As2 revealed by 75As nuclear magnetic resonance
最近的核磁共振(NMR)测量结果表明,在空穴和电子掺杂的BaFe $_2$ As $_2$系列铁磷族化合物超导体中,通过Korringa比分析发现了条纹型反铁磁(AFM)和铁磁(FM)自旋关联的共存.受NMR工作的启发,我们研究了另一个铁磷属元素化物超导家族Ca(Fe $_{1-x}$ Co $_x$)$_2$ As $_2$中FM涨落的可能存在.我们重新分析了我们以前报道的数据的Korringa比,并发现了明确的证据,在电子掺杂的CaFe $_2$ As $_2$系统中的条纹型AFM和FM自旋相关共存。这些NMR数据表明,FM波动存在于一般的铁pnictides超导家庭,因此必须包括捕获的现象的铁pnictides。
Anomalous Zeeman response in coexisting phase of superconductivity and spin-density wave as a probe of extended $s$-wave pairing structure in ferro-pnictide
Pairing Symmetry in Iron-Pnictide Superconductor KFe$_2$As$_2$
对对称性是铁基超导体研究中的主要问题之一。采用基于第一性原理能带结构计算的低能有效动力学模型,结合KFe $_2$ As $_2$的$J_1$ - $J_2$模型,构建了体系的对称性相图.将第一性原理计算得到的$J_1$-$J_2$模型的$J_1$和$J_2$值代入该相图中,发现KFe $_2$ As $_2$的配对对称性是在折叠布里渊区的节$d_{xy}$波,每个晶胞有两个铁原子.这与实验观察到的节序参量是一致的。
Three-component fermion beyond the conventional Dirac Weyl Majorana classification attracts extensive attentions recently and many efforts have been paid to explore their superconductivity. Based on first-principles calculations, we systematically investigate the electron-phonon coupling (EPC) in the three-component fermion materials WN, WC and TaN. The EPC in pristine and pressured WC and TaN are to small to induce superconductivity. Electron doping can efficiently enhance the EPC strength and the predicted Tcs reach the value of experiments. Upon 0.6 electron/unitcell doping, the EPC strengt…
We calculated the critical temperature in the framework of s+-+d-wave multiband Eliashberg theory. We have solved these equations numerically to see at what values of the input parameters there is a solution with a non-zero critical temperature and what is the symmetry of the order parameter of this solution. For our model we consider the pnictide case with simplifications that allow us to obtain the most general possible information. For selected and representative cases in which the order parameter has s+-+d symmetry, we calculated the superconducting density of states, the temperature depen…
The pairing mechanism and gap structure in Ba122 pnictides have been hotly discussed for long time as one of the central issues in Fe-based superconductors. Here, we attack this problem by taking account of the vertex corrections (VCs) for the Coulomb interaction $U$ ($U$-VCs), which are totally dropped in conventional Migdal-Eliashberg formalism. The $U$-VC in the charge susceptibility induces strong orbital fluctuations, and the $U$-VC also enlarges the orbital-fluctuation-mediated attractive interaction. By analyzing the effective multiorbital Hubbard model for Ba122 pnictides, we find that…
Disorder-induced topological change of the superconducting gap structure in iron pnictides
在具有非常规配对机制的超导体中,激发谱中的能隙通常具有节点,这允许在低能量下的准粒子激发。在许多情况下,例如$d$波铜氧化物超导体,节点的位置和拓扑结构由对称性强加,因此无间隙激发的存在被保护免于无序。在这里,我们报告的观察铁磷族化合物超导体的间隙结构的明显变化,增加杂质散射。通过电子辐照在BaFe $_2$(As $_{1-x}$ P $_x$)$_2$晶体中连续引入点缺陷,从低温穿透深度测量中发现,结态转变为完全带隙激发的无结态。此外,在进一步的辐射下,带隙状态演变成另一个无隙状态,提供了大量的证据,非传统的符号变化$s$波超导性。这表明,超导能隙的拓扑结构可以由无序控制,这是铁磷属化物的一个惊人的独特特征。
Non-Fermi-Liquid Transport Phenomena and Superconductivity Driven by Orbital Fluctuations in Iron Pnictides: Analysis by Fluctuation-Exchange Approximation
Interplay between superconductivity and antiferromagnetism in some iron-pnictide single crystals studied by $^{57}$Fe Mössbauer spectroscopy
我们对Ba $_{0.78}$ K $_{0.22}$ Fe $_2$ As $_2$和BaFe $_{2-x}$ Ni $_x$ As $_2$单晶镶嵌物进行了详细的$^{57}$ Fe穆斯堡尔谱测量,显示出低于$T_N$的反铁磁有序性和低于$T_C$的超导性。穆斯堡尔谱的分析表明,在磁超精细(hf)领域的减少,但没有变化的磁体积分数低于$T_C$。这清楚地表明,在这些化合物中磁性和超导性共存。低于$T_C$的高频磁场的降低取决于$T_N$和$T_C$之间的差异,对于接近$T_C$的$T_N$,其降低幅度最大。对这一现象有两种不同的解释。我们还发现,非磁性体积分数低于$T_N$与Ni掺杂$x$,是大的高$T_C$和小的高$T_N$。
The interplay of nontrivial topology and superconductivity in condensed matter physics gives rise to exotic phenomena. However, materials are extremely rare where it is possible to explore the full details of the superconducting pairing. Here, we investigate the momentum dependence of the superconducting gap distribution in a novel Dirac material PdTe. Using high resolution, low temperature photoemission spectroscopy, we establish it as a spin-orbit coupled Dirac semimetal with the topological Fermi arc crossing the Fermi level on the (010) surface. This spin-textured surface state exhibits a …
In this work we study thermodynamic manifestations of the quantum criticality in multiband unconventional superconductors. As a guiding example we consider the scenario of magnetic quantum critical point in the model that captures superconductivity coexistence with the spin-density wave. We show that in situations when the superconducting order parameter has incidental nodes at isolated points, quantum magnetic fluctuations lead to the renormalization of the relative $T$-linear slope of the London penetration depth. This leads to the nonmonotonic dependence of the penetration depth as a functi…
Doping - dependent superconducting gap anisotropy in the two-dimensional 10-3-8 pnictide Ca$_{10}$(Pt$_3$As$_8$)[(Fe$_{1-x}$Pt$_{x}$)$_2$As$_2$]$_5$
Ca $_{10}$(Pt $_3$ As $_8$)[(Fe $_{1-x}$ Pt $_x$)$_2$ As $_2$ ] $_5$(“10-3-8”)超导体的特征是相对高的各向异性和超导性与结构/磁性转变的清晰分离,这使得研究超导能隙而不需要由于共存的序参数而引起的复杂化。在10-3-8($x =$ 0.028、0.041、0.042和0.097)的欠掺杂单晶中测量的伦敦穿透深度显示出与其他铁基超导体非常相似的行为,表现出稳健的幂律,$Δλ(T) = A T^n$。指数$n$从2.36($x =$ 0.097,接近最佳掺杂)下降到1.7($x =$ 0.028,重度欠掺杂组合物),表明超导能隙在圆顶边缘变得更加各向异性。在基于BaFe $_2$ As $_2$(“122”)的低各向异性超导体中发现了类似的趋势,这意味着它是铁磷属元素化物中超导性的内在性质,与磁有序和超导性的共存或正常态的各向异性无关。总的来说,这种掺杂依赖性与$s_{\pm}$配对与带内排斥竞争一致。
Dirac nodal pockets in the antiferromagnetic parent phase of FeAs superconductors
我们发现,以前测得的小费米表面口袋内的反铁磁相SrFe 2 As 2和BaFe 2 As 2是一致的狄拉克色散调制层间跳跃,从而产生一个狄拉克点在k-空间和一个尖点的磁场角度依赖的磁量子振荡频率。这些发现支持了这些材料中节自旋密度波的存在,这可能在保护金属态免受局域化效应方面发挥重要作用。SrFe_2As_2和BaFe_2As_2中狄拉克费米子的速度比石墨烯中慢14-20倍,这表明磷属元素化物为探索强相互作用狄拉克费米子的效应提供了实验室。
By performing high-pressure single-crystal neutron diffraction measurements, the evolution of structure and magnetic ordering in EuFe2As2 under hydrostatic pressure were investigated. Both the tetragonal-toorthorhombic structural transition and the Fe spin-density-wave (SDW) transition are gradually suppressed and become decoupled with increasing pressure. The antiferromagnetic order of the Eu sublattice is, however, robust against the applied pressure up to 24.7 kbar, without showing any change of the ordering temperature. Under the pressure of 24.7 kbar, the lattice parameters of EuFe2As2 di…
Possible three dimensional nodes in the $s{\pm}$ superconducting gap of BaFe$_2$(As$_{1-x}$P$_x$)$_2$
本文从理论上研究了BaFe $_2$(As $_{1-x}$ P $_x$)$_2$的超导态。从第一性原理能带计算出发,建立了三维十轨道模型,并研究了自旋涨落介导的配对机制中的超导能隙。带隙基本上是$s\pm$,其中带隙在电子和空穴费米面之间改变其符号,但在具有强$Z^2/XZ/YZ$轨道特征的大幅度弯曲的空穴费米面中出现三维节点结构。结合我们以前对1111系统的研究,解释了铁磷属元素化物中超导能隙的强材料依赖性。
We report neutron scattering measurements of single-crystalline YFe$_2$Ge$_2$ in the normal state, which has the same crystal structure to the 122 family of iron pnictide superconductors. YFe$_2$Ge$_2$ does not exhibit long range magnetic order, but exhibits strong spin fluctuations. Like the iron pnictides, YFe$_2$Ge$_2$ displays anisotropic stripe-type antiferromagnetic spin fluctuations at ($π$, $0$, $π$). More interesting, however, is the observation of strong spin fluctuations at the in-plane ferromagnetic wavevector ($0$, $0$, $π$). These ferromagnetic spin fluctuations are isotropic in …
Emergent Phases of Nodeless and Nodal Superconductivity Separated by Antiferromagnetic Order in Iron-based Superconductor (Ca4Al2O6)Fe2(As1-xPx)2: 75As- and 31P-NMR Studies
我们报告$^{31}$ P-和$^{75}$ As-NMR研究(Ca $_4$ Al $_2$ O $_{6}$)Fe $_2$(As $_{1-x}$ P $_x$)$_2$与P等价取代As。我们提出了新的演化的紧急阶段,节点无超导(SC)在0 $\le x \le$ 0.4和节点的$x$ =1附近是密切分离的开始相称的条纹型反铁磁(AFM)的顺序在0.5 $\le x \le$ 0.95,作为一个等价的替代P为As降低了氮族元素的高度$h_{Pn}$从Fe平面测量。结果表明,原子力显微镜的有序化发生在1.32 π $\le h_{Pn} \le$ 1.42 π的条件下,这也适用于(Fe $Pn$)$^{-}$层中具有Fe $^{2+}$态的其他铁磷族化合物.这种新的相位演化与$h_{Pn}$的变化点的重要性,电子相关的出现SC以及AFM秩序。