Phenomenological theory of superconductivity near domain walls in ferromagnets
K. V. Samokhin, D. Shirokoff

TL;DR
This paper presents a phenomenological model showing that superconductivity near ferromagnetic domain walls can have a higher critical temperature due to local effects and interface properties.
Contribution
It introduces a model accounting for electromagnetic interactions, local pairing variations, and wall transparency to explain enhanced superconductivity near domain walls.
Findings
Superconductivity critical temperature can be significantly higher near domain walls.
Local pairing enhancement or suppression affects superconductivity near walls.
Wall transparency influences the superconducting properties in ferromagnetic materials.
Abstract
We develop a phenomenological model of superconductivity near a domain wall in a ferromagnet. In addition to the electromagnetic interaction of the order parameter with the ferromagnetic magnetization, we take into account the possibility of a local enhancement or suppression of superconducting pairing in the vicinity of the wall, and also a non-perfect transparency of the wall to electrons. It is found that the critical temperature of superconductivity near the domain wall might be substantially higher than in the bulk.
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