Magnetic Dirac operator in strips submitted to strong magnetic fields

TL;DR

This paper analyzes the spectral properties of the magnetic Dirac operator on curved strips with infinite mass boundary conditions under strong magnetic fields, providing estimates and conditions for the existence of discrete spectrum.

Contribution

It offers new spectral estimates and conditions for the discrete spectrum of the magnetic Dirac operator in curved strips with strong magnetic fields.

Findings

Spectral estimates for large magnetic fields

Conditions for non-empty discrete spectrum

Analysis on curved strips with infinite mass boundary

Abstract

We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.