Is Hall Conductance in Hall Bar Geometry a Topological Invariant?

Details Is Hall Conductance in Hall Bar Geometry a Topological Invariant? Is Hall Conductance in Hall Bar Geometry a Topological Invariant?

1994-09-26

arxiv.org/abs/cond-mat/9409109v1

Physics

Condensed Matter

13 pages, 2 figures uuencoded, phyzzx, EPHOU-94-005

Scientific paper

A deep connection between the Hall conductance in realistic situation and a topological invariant is pointed out based on von-Neumann lattice representation in which Landau level electrons have minimum spatial extensions. We show that the Hall conductance has no finite size correction in quantum Hall regime, but a coefficient of induced Chern-Simons term in QED$_3$ has a small finite size correction, although both of them are similar topological invariant.

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