论文标题

非线性$σ$ -MODEL用于带有内在旋转轨耦合的无序系统

Nonlinear $σ$-model for disordered systems with intrinsic spin-orbit coupling

论文作者

Virtanen, P., Bergeret, F. S., Tokatly, I. V.

论文摘要

我们得出了非线性$σ$模型,以描述具有固有的自旋轨耦合(SOC)的正常金属和超导体中的扩散传输。 SOC通过SU(2)仪表场进行描述,我们将模型扩展到梯度的第四阶,以找到领先的非亚伯野外强度贡献。该贡献产生了旋转式耦合,该耦合负责旋转式效果。我们讨论其对称性与领先的准经典高阶梯度项的不同。我们还得出了相应的USADEL方程,描述了超导系统中的扩散旋转电荷动力学。例如,我们应用获得的方程式来描述在任意温度下肮脏的Rashba超导体中的异常超电流。

We derive the nonlinear $σ$-model to describe diffusive transport in normal metals and superconductors with intrinsic spin-orbit coupling (SOC). The SOC is described via an SU(2) gauge field, and we expand the model to the fourth order in gradients to find the leading non-Abelian field-strength contribution. This contribution generates the spin-charge coupling that is responsible for the spin-Hall effect. We discuss how its symmetry differs from the leading quasiclassical higher-order gradient terms. We also derive the corresponding Usadel equation describing the diffusive spin-charge dynamics in superconducting systems. As an example, we apply the obtained equations to describe the anomalous supercurrent in dirty Rashba superconductors at arbitrary temperatures.

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