Chiral boundary conditions for Quantum Hall systems

Details Chiral boundary conditions for Quantum Hall systems Chiral boundary conditions for Quantum Hall systems

1997-09-29

arxiv.org/abs/cond-mat/9709322v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, LaTeX, 2 figures, to be published in the Proceedings of the Minerva workshop on Mesoscopics, Fractals and Neural Net

Scientific paper

A quantum mesoscopic billiard can be viewed as a bounded electronic system due to some external confining potential. Since, in general, we do not have access to the exact expression of this potential, it is usually replaced by a set of boundary conditions. We discuss, in addition to the standard Dirichlet choice, the other possibilities of boundary conditions which might correspond to more complicated physical situations including the effects of many body interactions or of a strong magnetic field. The latter case is examined more in details using a new kind of chiral boundary conditions for which it is shown that in the Quantum Hall regime, bulk and edge characteristics can be described in a unified way.

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