A1 Journal article (refereed)
Nonlinear σ model for disordered systems with intrinsic spin-orbit coupling (2022)

Virtanen, P., Bergeret, F. S., & Tokatly, I. V. (2022). Nonlinear σ model for disordered systems with intrinsic spin-orbit coupling. Physical Review B, 105(22), Article 224517. https://doi.org/10.1103/PhysRevB.105.224517

JYU authors or editors

Virtanen, Pauli

Publication details

All authors or editors: Virtanen, P.; Bergeret, F. S.; Tokatly, I. V.

Journal or series: Physical Review B

ISSN: 2469-9950

eISSN: 2469-9969

Publication year: 2022

Publication date: 29/06/2022

Volume: 105

Issue number: 22

Article number: 224517

Publisher: American Physical Society (APS)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/PhysRevB.105.224517

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/82513

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2205.14075

Abstract

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.

Keywords: superconductors; superconductivity

Fields of science: