Density Matrix Renormalization Group Study of a Lowest Landau Level Electron Gas on a Thin Cylinder

Emil J. Bergholtz; Anders Karlhede

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Density Matrix Renormalization Group Study of a Lowest Landau Level Electron Gas on a Thin Cylinder

Emil J. Bergholtz·Anders Karlhede

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Abstract

We investigate the ground state properties of a two-dimensional electron gas in the lowest Landau level using the Density Matrix Renormalization Group. The electron gas is confined to a cylinder with a strong magnetic field perpendicular to the surface. For a thin cylinder, the ground state is for generic filling factors a charge density wave state, however, at $ν=1/2$ a homogeneous and apparently gapless ground state is found and particle and hole excitations are studied.

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Emil J. Bergholtz, Anders Karlhede. 2003-11-26. Density Matrix Renormalization Group Study of a Lowest Landau Level Electron Gas on a Thin Cylinder. https://arxiv.org/abs/cond-mat/0304517

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