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A new approach to the ground state of quantum-Hall systems. I. Basic principles

S. A. Mikhailov

cond-mat.mes-hallarXiv:cond-mat/0008227

Abstract

I present a new approach to the many-body ground state of quantum-Hall systems. The method describes the behavior of a two-dimensional electron system at all Landau-level filling factors ν, continuously as a function of magnetic field, and enables one to analytically calculate any physical value, characterizing the system, at all ν. New proposed trial many-body wave functions have a clear physical meaning and a very large variational freedom, which opens up wide possibilities to search for the ground state of the system at all magnetic fields.

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