Zeitschrift für Physik B Condensed Matter

ISSN: 0722-3277 (printed version)
ISSN: 1431-584X (electronic version)

Table of Contents

Abstract Volume 103 Issue 2 (1997) pp 279-281

Bosonization of a 2D electron gas in a magnetic field

H. Westfahl (1), A.H. Castro Neto (2), A.O. Caldeira (1)

(1) Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-970, Campinas, SP, Brazil
(2) Department of Physics, University of California, Riverside, CA 92521, USA

Abstract. Starting from a Landau level description of a 2D fermion gas subject to a perpendicular uniform magnetic field, under the condition that there is a large integer number of filled Landau levels, we introduce a bosonization scheme for the low energy excitations of the system. We give an explicit construction of the fermion operator in terms of the bosons and show that the description of the elementary neutral excitations within a bosonic language provides a quadratic bosonic Hamiltonian for the interacting electron system which can be easily diagonalized.

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