Landau level bosonization of a 2D electron gasLandau level bosonization of a 2D electron gas

Vladimir A. Zyuzin

Harry Westfahl, A. H. Castro Neto, A. O. Caldeira

J. Ranninger, J.M. Robin

C.D. Chen, Erio Tosatti

Allan H. MacDonald, S. M. Girvin

We show that possible forms for the density matrices of states of a two-dimensional electron gas (2D EG) are profoundly limited when the electrons are constrained to lie in the lowest Landau level. In particular for any number of particles the matrices may be expressed in terms of their diagonal elements in a position representation. The simplification which is known to occur for Hartree-Fock calculations in a single Landau level of the 2D EG is a specific consequence of this general property.

Harry Westfahl, A. H. Castro Neto, A. O. Caldeira

In this work we introduce a bosonization scheme for the low-energy excitations of a two-dimensional interacting electron gas in the presence of a 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 that can be easily diagonalized.