Landau level bosonization of a 2D electron gas

TL;DR

This paper develops a bosonization method for low-energy excitations of a 2D electron gas in a magnetic field, enabling a simplified quadratic bosonic Hamiltonian description of magnetoplasma modes.

Contribution

It introduces a novel bosonization scheme for 2D electron gases in magnetic fields, explicitly constructing electron operators and describing neutral excitations in a bosonic framework.

Findings

Bosonization scheme successfully describes magnetoplasma modes.

Provides a quadratic bosonic Hamiltonian for the system.

Facilitates easier diagonalization of the interacting electron system.

Abstract

In this work we introduce a bosonization scheme for the low energy excitations of a 2D interacting electron gas in the presence of an uniform magnetic field under conditions where a large integral number of Landau levels are filled. We give an explicit construction for the electron operator in terms of the bosons. We show that the elementary neutral excitations, known as the magnetic excitons or magnetoplasma modes, can be described within a bosonic language and that it provides a quadratic bosonic Hamiltonian for the interacting electron system which can be easily diagonalized.