On the ground state of a completely filled lowest Landau level in two dimensions

Details On the ground state of a completely filled lowest Landau level in two dimensions On the ground state of a completely filled lowest Landau level in two dimensions

2000-06-19

arxiv.org/abs/cond-mat/0006278v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

REVTeX, 4 pages, 1 figure, some minor changes in the text

Scientific paper

There exists a widely believed opinion, that the many-body ground state of a two-dimensional electron system at a completely filled lowest Landau level (the filling factor $\nu=1$) is described by the so-called Hartree-Fock wave function, and that this solution is the unique, exact eigenstate of the system at $\nu=1$. I show that this opinion is erroneous, construct an infinite number of other variational many-body wave functions, and discuss the properties of a few states which have the energy substantially lower than the energy of the Hartree-Fock state.

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