Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework

TL;DR

This paper introduces a novel Maxwell-Higgs model with Lorentz violation that supports electrically charged BPS vortices exhibiting unique features like flux inversion and controllable thickness, with potential condensed matter applications.

Contribution

First demonstration of charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework with unique flux and electric field properties.

Findings

Existence of charged BPS vortex solutions with flux quantization.

Features include localized magnetic flux reversion and electric field inversion.

Potential applications in condensed matter systems supporting charged vortices.

Abstract

We demonstrate for the first the existence of electrically charged BPS vortices in a Maxwell-Higgs model supplemented with a parity-odd Lorentz-violating (LV) structure belonging to the CPT-even gauge sector of the standard model extension and a fourth order potential (in the absence of the Chern-Simons term). The modified first order BPS equations provide charged vortex configurations endowed with some interesting features: localized and controllable spatial thickness, integer flux quantization, electric field inversion and localized magnetic flux reversion. This model could possibly be applied on condensed matter systems which support charged vortices carrying integer quantized magnetic flux, endowed with localized flipping of the magnetic flux.