Landau level bosonization of a 2D electron gas
arXiv:cond-mat/9611004 · doi:10.1103/PhysRevB.55.R7347
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.
arXiv comment4 pages, revtex
Cited by in corpus (9)
- Cavity QED of the graphene cyclotron transition
- Lowest Landau level bosonization
- Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas
- Bosonization of Fermi liquids in a weak magnetic field
- Bosonization for Wigner-Jordan-like Transformation : Backscattering and Umklapp-processes on Fictitious Lattice
- Spin-excitations of the quantum Hall ferromagnet of composite fermions
- Solution of the X-ray edge problem for 2D electrons in a magnetic field
- Effects of Disorder and Interactions in the Quantum Hall Ferromagnet
- Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field