Squeezing of phonons due to the non-linear coupling to electrons is a way to enhance superconductivity as theoretically studied in a recent work [Kennes et al. Nature Physics 13, 479 (2017)]. We study quadratic electron-phonon interaction in the presence of phonon pumping and an additional external squeezing. Interference between these two driving sources induces a phase-sensitive enhancement of electron-electron attraction, which we find as a generic mechanism to enhance any boson-mediated interactions. The strongest enhancement of superconductivity is shown to be on the boundary with the dynamical lattice instabilities caused by driving. We propose several experimental platforms to realize our scheme.
Superconductivity and phonon self-energy effects in Fe$_{1+y}$Te$_{0.6}$Se$_{0.4}$
我们用偏振分辨拉曼光谱研究了Fe $_{1+y}$ Te $_{0.6}$ Se $_{0.4}$与$T_c=14$ K的多带超导体。在超导状态的深处，我们在$XY$（$B_{2g}$）散射几何中检测到45 cm $^{-1}$（$2Δ=5.6$ meV）处的成对破缺激发，这与ARPES在具有$d_{xz}/d_{yz}$特征的类孔费米口袋上揭示的超导能隙能量（3 meV）的两倍一致。我们分析了$B_{1g}$（Fe）声子的超导电性诱导声子自能效应，并估算了电子-声子耦合常数$λ^Γ\approx 0.026$，这不足以用$T_c=14$ K解释超导电性.
The effects of structural quantum criticality on the strong-coupling superconductivity of (Sr$_{1-x}$Ca$_x$)$_3$Rh$_4$Sn$_{13}$ have been investigated via electrical resistivity and specific heat measurements. We demonstrate that the lattice specific heat at low temperatures considerably increases toward the structural quantum critical point (SQCP), $x_{\rm c}\approx0.9$. The superconducting gap increases with $x$ in the exact same fashion as the low-temperature lattice specific heat, clearly indicating that the abundant low-energy phonons cause strong-coupling superconductivity. Despite the e…
High temperature superconductivity due to the long-range electron-phonon interaction, application to isotope effects, thermomagnetic transport and nanoscale heterogeneity in cuprates
The electronic structure, phonons, electron-phonon coupling, and superconductivity are theoretically studied in noncentrosymmetric superconductor ThCoC$_2$ as a function of pressure, in the pressure range 0 - 20 GPa. We found that the electronic band splitting induced by the spin-orbit coupling is enhanced under pressure. In spite of the overall stiffening of the crystal lattice, the electron-phonon coupling constant $λ$ increases with pressure, from 0.583 at 0 GPa to 0.652 at 20 GPa. If the isotropic Eliashberg electron-phonon coupling theory is used to simulate the effect on the critical tem…
Odd-parity superconductivity from phonon-mediated pairing: Application to Cu$_x$Bi$_2$Se$_3$
受Cu $_x$ Bi $_2$ Se $_3$中提出的拓扑态的启发，我们研究了具有时间反转和反转对称性的自旋轨道耦合系统中声子介导奇宇称超导的可能性.对于这样的系统，我们表明，在一般情况下，纯电子-声子耦合永远不会导致一个三重态具有较高的临界温度比领先的单重态。库仑赝势是电子-电子相互作用的排斥部分，在弱关联系统中通常很小，因此对稳定三重态至关重要。我们引入了一个手征性量子数，它将最有利于三重态通道的电子-声子顶点相互作用确定为那些保持手征性的顶点相互作用。将这些结果应用于Cu $_x$ Bi $_2$ Se $_3$，我们发现，如果保持手征的电子-声子顶点比手征翻转的顶点强得多，则在弱电子关联下可以实现声子介导的奇宇称态.
Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
电子-玻色子耦合在许多体系的超导电性中起着关键作用。然而，在铜基高温（$T_c$）超导体中，尽管有很强的光谱指纹，但它与超导性的关系仍然存在争议。在这里，我们使用角分辨光电子能谱找到一个惊人的相关性之间的超导能隙和玻色子耦合强度附近的布里渊区边界的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$。玻色子耦合强度从过掺杂的费米液体状态到最佳掺杂的奇异金属状态迅速增加，同时伴随着四倍的超导能隙和两倍的赝能隙边界上的能隙与Tc比。这种同步的晶格和电子响应表明，电子相互作用和电子-声子耦合的影响在进入奇怪的金属状态时变得紧密纠缠，这反过来可能会驱动更强的超导性。
We propose a new Rashba-free mechanism to realize topological superconductivity with electron-phonon interaction. In the presence of a magnetic field, electron-phonon interaction with small momentum transfer is found to favor spin-triplet Cooper pairing. This process facilitates the formation of chiral topological superconductivity even when Rashba spin-orbital coupling is absent. As a proof of concept, we propose an experimentally feasible heterostructure to systematically study the entangled relationship among forward-phonon scatterings, Rashba spin-orbital couplings, pairing symmetries, and…
Breaking down the traditional perception on phonons which are achiral, the recent discovery of chiral phonon carrying angular momentum provides possible ways to couple electron, photon, spin, magnon and exciton, etc. We theoretically proposed an electron-chiral phonon interaction with two-phonon process, in contrast to conventional electron-phonon interaction, and a kind of effective Hubbard U through exchanging two chiral phonons is proposed. Taking two-dimensional diatomic honeycomb lattice as an example, we found this repulsive Hubbard U mediated by chiral phonons induces unconventional and…
Insight into why superconductivity in pristine and doped monolayer graphene seems strongly suppressed has been central for the recent years' various creative approaches to realize superconductivity in graphene and graphene-like systems. We provide further insight by studying electron-phonon coupling and superconductivity in doped monolayer graphene and hexagonal boron nitride based on intrinsic phonon modes. Solving the graphene gap equation using a detailed model for the effective attraction based on electron tight binding and phonon force constant models, the various system parameters can be…
Influence of the pseudogap on the superconductivity-induced phonon renormalization in high-T$_c$ superconductors
研究了d密度波（DDW）带隙对超导诱导的声子频率和线宽重整化的影响。拉曼和非弹性中子散射实验的结果进行了讨论。结果表明，DDW带隙可以增强$q=0$声子软化的频率范围，这取决于底层的能带结构。此外，我们还发现各向异性的“d波”赝能隙对YBa $_2$ Cu $_3$ O $_7$中340 cm $^{-1}$声子的q依赖线宽展宽也有贡献.
We investigate the role of specific phonon mode symmetries for the room temperature superconductivity in atomic hydrogen under large pressure. Using anisotropic Migdal-Eliashberg theory with ab initio input from density functional theory, we show that the $E_u$ phonon modes are the dominant driving force for obtaining such high critical temperatures. When going from 400 to 600 GPa, we find an increased transition temperature, however, the total electron-phonon coupling strength is counterintuitively reduced. Our analysis reveals that this is due to an enhanced contribution to the coupling stre…
Electron pairing by dispersive phonons in altermagnets: re-entrant superconductivity and continuous transition to finite momentum superconducting state
研究交错磁体中色散声子介导的电子配对，发现热声子散射抑制交错磁性，导致超导电性随温度重入，并在低温稳定 FFLO 有限动量超导态，无需 d 波配对。
Phonon density of states, anharmonicity, electron-phonon coupling and possible multigap superconductivity in the clathrate superconductors Ba8Si46 and Ba24Si100: Why is Tc different in these two compounds?
A Unified Description of Superconductivity: Electron Density Dynamic's Response to Phonons at the Brillouin Zone Boundary Driven Real Space Electron-Hole Pairing Characterized by CP Symmetry
认为电子密度动力学对布里渊区边界声子的响应是MgB 2超导机制的关键因素，也是导致具有CP对称性的真实空间电子-空穴配对的所有超导化合物的关键因素（Charge and Parity symmetries）电子密度差的第一性原理计算是通过减去布里渊区边界处的纵向声学声子使晶体的电子密度与完美晶体的电子密度发生扭曲。从局域极化率和声子引起的电荷离域转移的角度讨论了这种电子密度动态响应这种扭曲的根源，这种扭曲导致了实空间中具有CP对称性特征的电子空穴配对。畸变驱动的轨道杂化动力学变化。这种方法也为寻找新的超导体提供了明确和快速的指导方针。
Eliashberg's foundational theory of superconductivity is based on the application of Migdal's approximation, which states that vertex corrections to first order electron-phonon scattering are negligible if the ratio between phonon and electron energy scales is small. The resulting theory incorporates the first Feynman diagrams for electron and phonon self-energies. However, the latter is most commonly neglected in numerical analyses. Here we provide an extensive study of full-bandwidth Eliashberg theory in two and three dimensions, where we include the full back reaction of electrons onto the …
Density functional theory (DFT) based ab-initio calculations of electronic, phononic, and superconducting properties of 1T MoS2 are reported. The phonon dispersions are computed within density-functional-perturbation-theory (DFPT). We have also computed Eliashberg function alpha2Fomega and electron-phonon coupling constant lambda from the same. The superconducting transition temperature (Tc) computed within the McMillan-Allen-Dynes formula is found in good agreement with the recent experimental report. We have also evaluated the effect of pressure on the superconducting behavior of this system…
