Abstract
In the present work we shall address the issue of electrical conductivity in superconductors in the perspective of superconducting domain wall solutions in the realm of field theory. We take our set up made out of a dynamical complex scalar field coupled to gauge field to be responsible for superconductivity and an extra scalar real field that plays the role of superconducting domain walls. The temperature of the system is interpreted through the fact that the soliton following accelerating orbits is a Rindler observer experiencing a thermal bath.
Highlights
In this Letter we present an alternative description of superconductivity in field theory
We take advantage of the rich and well established features involving classical soliton solutions, mainly those formulated in multi-scalar fields [1,2,3,4]
The reason for using such solutions in our purpose is twofold. Because they can develop internal structures such as condensates which are fundamental for studying superconductivity
Summary
In this Letter we present an alternative description of superconductivity in field theory. The first example of such objects were the superconducting strings [1,2] — other developments in domain walls with internal structures were considered in [3,4] Because these solutions can follow non-trivial orbits in the field space [4]. This will be fundamental to introduce temperature in the system in a very natural way and identify several important quantities such as the condensate and resistivity as a function of the temperature We believe this alternative can open a new window for investigating superconductivity in field theory through superconducting solitons since there exist many types of soliton solutions in many well established field theories such a way superconducting solitons can be identified.
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