A1 Journal article (refereed)
Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear σ model (2025)

Virtanen, P. (2025). Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear σ model. Physical Review B, 111, Article 024510. https://doi.org/10.1103/physrevb.111.024510

JYU authors or editors

Virtanen, Pauli

Publication details

All authors or editors: Virtanen, P.

Journal or series: Physical Review B

ISSN: 2469-9950

eISSN: 2469-9969

Publication year: 2025

Publication date: 24/01/2025

Volume: 111

Article number: 024510

Publisher: American Physical Society (APS)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/physrevb.111.024510

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/100212

Abstract

We describe a numerical approach to modeling magnetoelectric effects generated by spin-orbit coupling in inhomogeneous diffusive two-dimensional (2D) superconductors. It is based on direct minimization of the free energy of diffusion modes, including their coupling to the spin-orbit field strength, described by a recently discovered 𝜎-model action. We explain how to retain exact conservation laws in the the discretized model, and detail the numerical procedure. We apply the approach to the spin-galvanic and the inverse spin-galvanic effects in finite-size 2D superconductors, and describe short-range oscillations of circulating currents and spin densities originating from the spin-orbit coupling.

Keywords: superconductivity; spin (quantum mechanics); quantum physics

Free keywords: quantum transport; spintronics; superconductivity

Fields of science: