Fermi surfaces of crystals in a high magnetic field

TL;DR

This paper introduces a method to analyze the Fermi surfaces of three-dimensional crystals under high magnetic fields using zero-range potential theory, providing explicit dispersion relations.

Contribution

It presents a novel approach to construct and investigate Fermi surfaces in crystals subjected to strong magnetic fields, with explicit dispersion relations derived.

Findings

Explicit dispersion relation obtained for the Hamiltonian

Method enables detailed Fermi surface analysis in high magnetic fields

Framework applicable to various three-dimensional crystal models

Abstract

A method of building and investigation of the Fermi surfaces for three-dimensional crystals subjected to a uniform magnetic field is presented. The Hamiltonian of a charged particle in the crystal is treated in the framework of the zero-range potential theory. The dispersion relation for the Hamiltonian is obtained in an explicit form.