Tight-binding description of Landau levels of graphite in tilted magnetic fields

TL;DR

This paper presents a theoretical analysis of Landau levels in Bernal-stacked graphite under tilted magnetic fields using a tight-binding model, revealing a linear-in-field splitting at the H point.

Contribution

It introduces a detailed tight-binding approach to describe Landau levels in graphite with tilted magnetic fields, highlighting the splitting at the H point.

Findings

Orbital effects are negligible near the K point for massive Dirac fermions.

Landau level splitting at the H point grows approximately linearly with in-plane magnetic field.

The model explains experimentally observable Landau level splitting in tilted fields.

Abstract

The electronic structure of Bernal-stacked graphite subject to tilted magnetic fields is studied theoretically. The minimal nearest-neighbor tight-binding model with the Peierls substitution is employed to describe the structure of Landau levels. We show that while the orbital effect of the in-plane component of the magnetic field is negligible for massive Dirac fermions in the vicinity of the K point of the graphite Brillouin zone, at the H point it leads to the experimentally observable splitting of Landau levels, which grows approximately linearly with the in-plane field intensity.