Magnetoroton instabilities and static susceptibilities in higher Landau levels

Details Magnetoroton instabilities and static susceptibilities in higher Landau levels Magnetoroton instabilities and static susceptibilities in higher Landau levels

2002-08-23

arxiv.org/abs/cond-mat/0208450v2

Phys. Rev. B 66, 241101 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.66.241101

We present analytical results concerning the magneto-roton instability in higher Landau levels evaluated in the single mode approximation. The roton gap appears at a finite wave vector, which is approximately independent of the LL index n, in agreement with numerical calculations in the composite-fermion picture. However, a large maximum in the static susceptibility indicates a charge density modulation with wave vectors $q_0(n)\sim 1/\sqrt{2n+1}$, as expected from Hartree-Fock predictions. We thus obtain a unified description of the leading charge instabilities in all LLs.

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