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

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

2000-08-16

arxiv.org/abs/cond-mat/0008227v2

Physica B 299, 6-31 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, incl. 11 Figures, some errors are corrected, Physica B (in press)

Scientific paper

10.1016/S0921-4526(00)00769-9

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 $\nu$, continuously as a function of magnetic field, and enables one to analytically calculate any physical value, characterizing the system, at all $\nu$. 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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