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

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

1998-06-26

arxiv.org/abs/cond-mat/9806329v2

Phys. Rev. B 59, 10473 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

31 pages, 11 figures

Scientific paper

10.1103/PhysRevB.59.10473

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 $\nu_0 \lesssim 1$) with a quantum number $N_0 \gg 1$ is considered. We uncover two regimes of renormalization by electron-electron interactions. In the first regime, where $N^{1/2}_0(1-\nu_0) \ll 1$, these interactions lead to a splitting of the Landau levels. In the second regime, where $N^{1/2}_0(1-\nu_0) \gg 1$, apart of the splitting, a renormalization of the bare Zeeman splitting occurs. The intermediate case $N^{1/2}_0 (1-\nu_0)\approx 1$ cannot be studied within our approach. The applicability of the Fermi-liquid description is investigated for both regimes.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional weakly interacting Fermi gas in a magnetic field: Level splitting does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-dimensional weakly interacting Fermi gas in a magnetic field: Level splitting, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional weakly interacting Fermi gas in a magnetic field: Level splitting will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259607