Vortex solutions in axial or chiral coupled non-relativistic spinor- Chern-Simons theory

TL;DR

This paper explores vortex solutions in a non-relativistic spinor-Chern-Simons theory, revealing new couplings and static vortex configurations with potential implications for condensed matter physics.

Contribution

It introduces axial and chiral couplings in non-relativistic spinor-Chern-Simons models and finds static vortex solutions with vortex-lattices.

Findings

Existence of static self-dual vortex solutions

Introduction of axial and chiral couplings

Vortex-lattice configurations discovered

Abstract

The interaction of a spin 1/2 particle (described by the non-relativistic "Dirac" equation of L\'evy-Leblond) with Chern-Simons gauge fields is studied. It is shown, that similarly to the four dimensional spinor models, there is a consistent possibility of coupling them also by axial or chiral type currents. Static self dual vortex solutions together with a vortex-lattice are found with the new couplings.