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

2003/04/23 by Emil J. Bergholtz, Bergholtz, Emil J., A. Karlhede +2 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0304517

5 pages, 4 figures. Minor changes. References added

openalex publication_date 2003/04/23 · arxiv created 2003/11/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Cited by

• The density-matrix renormalization group

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