Electronic Band Structure In A Periodic Magnetic Field

TL;DR

This paper investigates the energy band structure of a 2D electron gas in a periodic magnetic field, revealing a transition to an insulating state at low electron densities through an exactly solvable model.

Contribution

It introduces a simple exactly solvable model to analyze the band structure of electrons in a periodic magnetic field, highlighting the coexistence of different mobility states.

Findings

Presence of states with finite and infinitesimal mobility

Transition to an insulating regime at low electron density

Both types of states coexist at the Fermi surface

Abstract

We analyze the energy band structure of a two-dimensional electron gas in a periodic magnetic field of a longitudinal antiferromagnet by considering a simple exactly solvable model. Two types of states appear: with a finite and infinitesimal longitudinal mobility. Both types of states are present at a generic Fermi surface. The system exhibits a transition to an insulating regime with respect to the longitudinal current, if the electron density is sufficiently low.