Relativistic Topological Insulator Model

TL;DR

This paper introduces an exactly solvable relativistic topological insulator model in three dimensions, extending the non-abelian Landau problem, with unique energy degeneracies and symmetry properties.

Contribution

It presents a novel relativistic topological insulator model that is exactly solvable and incorporates non-abelian gauge fields and ${m Z}_2$ symmetry.

Findings

Energy levels exhibit both discrete and continuous degeneracies.

Fermions are confined in a plane under a strong chromomagnetic field.

Model reflects ${m Z}_2$ symmetry in physical effects.

Abstract

A relativistic topological insulator model in three spatial dimensions which is a non trivial extension of the non-abelian Landau problem is proposed. The model is exactly soluble and energy levels have both a discrete and a continuous degeneracy. The chromomagnetic field is strong and the fermions are confined in a plane and the physical effects that appear reflects the ${\bm Z}_2$ symmetry.