Skip to main content
Article thumbnail
Location of Repository

Two-dimensional weakly interacting Fermi gas in a magnetic field: Level splitting

By Alexei Kolesnikov

Abstract

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor ν0 < ∼ 1) with a quantum number N0 ≫ 1 is considered. We uncover two regimes of renormalization by electron-electron interactions. In the first regime, where N 1/2 0 (1 −ν0) ≪ 1, these interactions lead to a splitting of the Landau levels. In the second regime, where N 1/2 0 (1 − ν0) ≫ 1, apart of the splitting, a renormalization of the bare Zeeman splitting occurs. The intermediate case N 1/2 0 (1−ν0) ≈ 1 cannot be studied within our approach. The applicability of the Fermi-liquid description is investigated for both regimes

Year: 1998
OAI identifier: oai:CiteSeerX.psu:10.1.1.306.3190
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/cond-mat/... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.