Is Hall Conductance in Hall Bar Geometry a Topological Invariant?

1994/09/26 by K. Ishikawa, Ishikawa, K., N. Maeda +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9409109

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

arxiv created 1994/09/26 · arxiv updated 2009/11/30

Abstract

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 QED₃ has a small finite size correction, although both of them are similar topological invariant.

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