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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.19894 |
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| _version_ | 1866913685574778880 |
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| author | Virtanen, P. |
| author_facet | Virtanen, P. |
| contents | We describe a numerical approach to modeling magnetoelectric effects generated by spin-orbit coupling in inhomogeneous diffusive 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $σ$ model Virtanen, P. Superconductivity We describe a numerical approach to modeling magnetoelectric effects generated by spin-orbit coupling in inhomogeneous diffusive 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 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. |
| title | Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $σ$ model |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2406.19894 |