Exact Solution of the one-impurity quantum Hall problem

Details Exact Solution of the one-impurity quantum Hall problem Exact Solution of the one-impurity quantum Hall problem

2000-06-16

arxiv.org/abs/cond-mat/0006259v1

J.Phys.A33:5193-5206,2000

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

25 pages, TeX, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/33/29/304

The problem of a non-relativistic electron in the presence of a uniform electromagnetic field and of one impurity, described by means of an Aharonov-Bohm point-like vortex, is studied. The exact solution is found and the quantum Hall's conductance turns out to be the same as in the impurity-free case. This exactly solvable model seems to give indications, concerning the possible microscopic mechanisms underlying the integer quantum Hall effect, which sensibly deviate from some proposals available in the literature.

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