Simultaneous quantization of edge and bulk Hall conductivity

Schulz-Baldes H, Kellendonk J, Richter T (2000)

Publication Type: Journal article

Publication year: 2000

Journal

Journal of Physics A: Mathematical and General Iop Publishing Ltd

Publisher: Iop Publishing Ltd

Book Volume: 33

Journal Issue: 2

DOI: 10.1088/0305-4470/33/2/102

Abstract

The edge Hall conductivity is shown to be an integer multiple of e 2 /h which is almost surely independent of the choice of the disordered configuration. Its equality to the bulk Hall conductivity given by the Kubo-Chern formula follows from K -theoretic arguments. This leads to quantization of the Hall conductance for any redistribution of the current in the sample. It is argued that in experiments at most a few per cent of the total current can be carried by edge states.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Cardiff University GB United Kingdom (GB) Technische Universität Berlin DE Germany (DE)

How to cite

APA:

Schulz-Baldes, H., Kellendonk, J., & Richter, T. (2000). Simultaneous quantization of edge and bulk Hall conductivity. Journal of Physics A: Mathematical and General, 33(2). https://doi.org/10.1088/0305-4470/33/2/102

MLA:

Schulz-Baldes, Hermann, Johannes Kellendonk, and Thomas Richter. "Simultaneous quantization of edge and bulk Hall conductivity." Journal of Physics A: Mathematical and General 33.2 (2000).

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