Kondo effect from a Lorentz-violating domain wall description of superconductivity

TL;DR

This paper introduces a Lorentz-violating term in a domain wall model of superconductivity, linking it to the Kondo effect and showing how impurity concentration affects critical temperature, deviating from traditional theories.

Contribution

It extends the domain wall superconductivity model by incorporating Lorentz violation, revealing its connection to the Kondo effect and impurity effects on critical temperature.

Findings

Lorentz-violating parameter relates to magnetic impurity concentration.

Critical temperature decreases with impurities, showing non-monotonic behavior.

Deviations from Abrikosov-Gor'kov theory supported by experiments.

Abstract

We extend recent results on domain wall description of superconductivity in an Abelian Higgs model by introducing a particular Lorentz-violating term. The temperature of the system is interpreted through the fact that the soliton following accelerating orbits is a Rindler observer experiencing a thermal bath. We show that this term can be associated with the {\sl Kondo effect}, that is, the Lorentz-violating parameter is closely related to the concentration of magnetic impurities living on a superconducting domain wall. We also found that the critical temperature decreasing with the impurity concentration as a non single-valued function, for the case $T_K < T_{c0}$, develops a negative curvature and presents deviations from the Abrikosov and Gor'kov theory, a phenomenon already supported by experimental evidence.