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

Source: [Is Hall Conductance in Hall Bar Geometry a Topological Invariant?](<https://www.sota2.com/research/paper/68fa1e8e7a2b558e293230fd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:21:59.528Z

Authors: K. Ishikawa, N. Maeda, K. Tadaki

Published: 1994-09-26T04:34:01.000Z

## 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 QED$\_3$ has a small finite size correction, although both of them are similar topological invariant.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9409109>)

[PDF](<https://arxiv.org/pdf/cond-mat/9409109.pdf>)