Magnetoelectronic states of a monolayer graphite

TL;DR

This paper investigates the magnetoelectronic properties of monolayer graphite using a tight-binding model, revealing flat and oscillatory Landau levels, degeneracy patterns, and their implications for optical spectroscopy.

Contribution

It provides a detailed theoretical analysis of Landau levels and density of states in monolayer graphite, highlighting features not previously characterized.

Findings

Presence of flat and oscillatory Landau levels

Degeneracy patterns vary with energy

Density of states reflects electronic properties

Abstract

The Peierl's tight-binding model, with the band Hamiltonian matrix, is used to calculate the magnetoelectronic structure of a monolayergraphite. There are many flat Landau levels and some oscillatory Landau levels. The low Landau-level energies are characterized by a simple relation, not for others. State degeneracy is, respectively, fourfold degenerate and doubly degenerate at low and high energies. The level spacing declines quickly and then grows gradually in the increase of state energy. The main features of electronic properties are directly reflected in density of states. The predicted results could be verified by the optical spectroscopy.