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

S. A. Mikhailov

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

S. A. Mikhailov

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Abstract

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 $ν=1$) is described by the so-called Hartree-Fock wave function, and that this solution is the unique, exact eigenstate of the system at $ν=1$. 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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S. A. Mikhailov. 2000-06-30. On the ground state of a completely filled lowest Landau level in two dimensions. https://arxiv.org/abs/cond-mat/0006278

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