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.
Highlights
In a recent study was put forward an alternative theory of superconductivity in field theory through domain wall description of superconductivity [1]
In the limit of small velocities these solutions can be identified as Rindler observers [1] in a thermal bath which allows to introduce temperature in the system via Unruh effect, supporting an investigation of thermodynamic quantities in the domain wall description of superconductivity
This description uses a dynamical complex scalar field coupled to Abelian gauge field which is responsible for superconductivity of the system and an extra real scalar field responsible for the domain walls plus other terms that breaks the Lorentz and CPT symmetries
Summary
In a recent study was put forward an alternative theory of superconductivity in field theory through domain wall description of superconductivity [1] We extend this investigation by considering a theory that allows Lorentz and CPT violation. This description uses a dynamical complex scalar field coupled to Abelian gauge field (the Abelian Higgs sector) which is responsible for superconductivity of the system and an extra real scalar field responsible for the domain walls plus other terms that breaks the Lorentz and CPT symmetries.
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