Magnetic translations for a spatially periodic magnetic field

TL;DR

This paper demonstrates that magnetic translation operators remain valid for free electrons in spatially periodic magnetic fields, providing a useful tool for studying phenomena in 2D electron gases with modulated densities.

Contribution

It extends the concept of magnetic translation operators to spatially periodic magnetic fields, aligning with the approach used for Bloch electrons in uniform fields.

Findings

Magnetic translation operators are valid in periodic magnetic fields.

The operators can be defined similarly to those in uniform magnetic fields.

Potential applications in analyzing 2DEG phenomena with density modulation.

Abstract

It is shown that in the case of free electron in a spatially periodic magnetic field the concept of magnetic translations operators is still valid and, moreover, these operators can be defined in the same way as for a Bloch electron in a uniform magnetic field. The results can be a useful tool in investigation of lately observed phenomena in 2DEG with spatially modulated density.