Field Theory of Superconductor and Charged Vortex
Superconductivity
2025-05-06 v1 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
A Lagrangian of a Schr\"{o}dinger type complex scalar field of Cooper pair, a U(1) gauge field of electromagnetism, and a neutral scalar field of acoustic phonon with constant background charge density is proposed for an effective field theory of conventional superconductivity. We find static charged vortex solutions of finite energy and, for the critical couplings of the quartic self-interaction coupling of complex scalar field and the cubic Yukawa type coupling between neutral and complex scalar field, these charged vortices saturate the BPS (Bogomolny-Prasad-Sommerfield) bound, that guarantees the nonperturbative classification of type I and II superconductors.
Keywords
Cite
@article{arxiv.2505.02377,
title = {Field Theory of Superconductor and Charged Vortex},
author = {Yoonbai Kim and SeungJun Jeon and Hanwool Song},
journal= {arXiv preprint arXiv:2505.02377},
year = {2025}
}
Comments
8 pages, 2 figures