The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field

Details The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field

1996-01-23

arxiv.org/abs/cond-mat/9601110v1

Phys. Rev. B 54, 1853 (1996).

Physics

Condensed Matter

REVTeX, 21 pages + 12 figures in PostScript. Uses amsfonts.sty, multicol.sty, and psfig.sty

Scientific paper

10.1103/PhysRevB.54.1853

We study the ground state of a clean two-dimensional electron liquid in a weak magnetic field where $N \gg 1$ lower Landau levels are completely filled and the upper level is partially filled. It is shown that the electrons at the upper Landau level form domains with filling factor equal to one and zero. The domains alternate with a spatial period of the order of the cyclotron radius, which is much larger than the interparticle distance at the upper Landau level. The one-particle density of states, which can be probed by tunneling experiments, is shown to have a pseudogap linearly dependent on the magnetic field in the limit of large $N$.

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