6533b7d1fe1ef96bd125cea8

RESEARCH PRODUCT

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

P. VirtanenF. S. BergeretI. V. Tokatly

subject

Superconductivity (cond-mat.supr-con)suprajohtavuusCondensed Matter::SuperconductivityCondensed Matter - SuperconductivityFOS: Physical sciencessuprajohteet

description

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.

10.1103/physrevb.105.224517http://hdl.handle.net/10261/303350