Charged, spinless vortex solutions exist in a Schrödinger-type superconductor model only at the critical phonon coupling, and become noninteracting BPS vortices at the critical quartic coupling.
Field Theory of Superconductor and Charged Vortex
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
cond-mat.supr-con 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Charged Vortex in Superconductor
Charged, spinless vortex solutions exist in a Schrödinger-type superconductor model only at the critical phonon coupling, and become noninteracting BPS vortices at the critical quartic coupling.