English

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

Mesoscale and Nanoscale Physics 2007-05-23 v2

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\nu=1/2 a homogeneous and apparently gapless ground state is found and particle and hole excitations are studied.

Keywords

Cite

@article{arxiv.cond-mat/0304517,
  title  = {Density Matrix Renormalization Group Study of a Lowest Landau Level Electron Gas on a Thin Cylinder},
  author = {Emil J. Bergholtz and Anders Karlhede},
  journal= {arXiv preprint arXiv:cond-mat/0304517},
  year   = {2007}
}

Comments

5 pages, 4 figures. Minor changes. References added