Dynamics of Topological Defects in Type-II Superconductors under Gradients of Temperature/Spin Density
Abstract
We theoretically investigate the motion of a domain wall and a vortex in type-II superconductors driven by inhomogeneities of temperature or spin density. The model consists of the time-dependent Ginzburg-Landau equation and the thermal/spin diffusion equation, whose transport coefficients (the thermal/spin conductivity and the spin relaxation time) depend on the order parameter, interpolating between values in the superconducting and normal states. Numerical and analytical calculations indicate that the domain wall moves toward the higher-temperature/spin-density region, where the order parameter is suppressed. We also derive an analytical expression for the vortex velocity. We can understand the dynamics of topological defects as processes that reduce the loss of condensation energy. We also analyze the driving force, the viscous force, the thermal force, and the force due to the spin accumulation gradient, on the basis of the momentum balance relations.
Keywords
Cite
@article{arxiv.2405.10200,
title = {Dynamics of Topological Defects in Type-II Superconductors under Gradients of Temperature/Spin Density},
author = {Takuma Kanakubo and Hiroto Adachi and Masanori Ichioka and Yusuke Kato},
journal= {arXiv preprint arXiv:2405.10200},
year = {2026}
}