In this work we develop microscopic kinetic theory of the anomalous Hall and Nernst effects in superconductors induced by fluctuations in the vicinity of the critical transition temperature. The technical analysis is carried out within the Matsubara diagrammatic technique and linear response Kubo formula with disorder averaging and an analytical continuation. It is shown that asymmetric skew-scattering due to spin-orbit interaction gives rise to a new anomalous Hall conductance promoted by Maki-Thompson interference and density of states fluctuational effects. The side-jump mechanism of the anomalous Hall effect is present only in the density of states contributions. The anomalous Nernst effect is found due to a special nonlinear Aslamazov-Larkin term from the quantum-crossing of interacting fluctuations in a Hikami box with the skew-scattering process. In addition to calculations in the weak-coupling BCS model we also sketch an approach for the account of fluctuational transport effects in the strong-coupling limit. In particular we explore an example of how Keldysh version of the Eliashberg theory can in principle be constructed and estimate fluctuation-induced conductivity within conventional electron-phonon coupling scenario. These ideas may pave the way for further developments of strong coupling theories in applications to fluctuations in unconventional superconductors and anomalous transport responses in particular.
A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: II. Hall and Nernst Effects with Perturbational Treatment of Magnetic Field
Giant Nernst and Hall Effects in Chiral Superconductors due to Berry Phase Fluctuations
我们考虑了在相变温度以上的手征超导体涨落区中的能斯特效应和霍尔效应，它们不是由传统的洛伦兹力引起的，而是由Bogoliubov-de Gennes哈密顿量的Berry相涨落引起的非对称散射引起的.结果发现，这些效果可以比传统的清洁样品，表现出定性不同的行为更显着。这些结果为最近在干净的URu $_2$ Si $_2$样品中观察到的能斯特效应提供了系统和全面的理解，该样品被认为是一种手征超导体。
Correlation between incoherent phase fluctuations and disorder in Y$_{1-x}$Pr$_x$Ba$_2$Cu$_3$O$_{7-δ}$ epitaxial films from Nernst effect measurements
本文报道了YPDMATHABMM Pr $_x$ Ba $_2$ Cu $_3$ O $_{7-δ}$（Pr-YBCO，0 $\leq x\leq$ 0.4）外延薄膜在宽温度和磁场范围内的能斯特效应、电阻率和霍尔角的测量结果。虽然霍尔和电阻率的数据表明一个广泛的赝能隙制度，根据早期的结果，这些第一次测量的能斯特效应Pr-YBCO超导转变温度以上的大信号（T $_c$）。这种效应归因于T $_c$上存在的相位非相干凝聚体中的类涡旋激发。对YBCO铜族化合物的无序度和相涨落区宽度之间的关系已经建立，这表明无无序的YBa $_2$ Cu $_3$ O $_{7-δ}$的T $_c\approx$为110 K.
Nernst Effect and Superconducting Fluctuations in Zn-doped YBa$_{2}$Cu$_{3}$O$_{7-δ}$
报道了用脉冲激光沉积技术生长的Zn掺杂$_{2}$ O $_{3}$外延薄膜的面内电阻率、霍尔效应和能斯特效应的测量结果。的赝能隙温度，$T^*$，确定从电阻率的温度依赖性，不改变与Zn掺杂显着。同时，在$T_{c0}$以上的反常能斯特信号的起始温度（$T^ν$）随着超导转变温度$T_{c0}$的降低而急剧降低，这被解释为类涡旋激发的证据。在混合态下，涡旋能斯特信号的最大值也显著降低，这与Zn杂质导致超流密度降低从而抑制超导电性的假设相一致.给出并讨论了$T^*$、$T^ν$和$T_{c0}$与Zn含量的相图。
