Generalized TKNN-equations

de Nittis G, Landi G (2012)

Publication Type: Journal article

Publication year: 2012

Journal

Advances in Theoretical and Mathematical Physics International Press

Publisher: International Press

Book Volume: 16

Pages Range: 505-547

Journal Issue: 2

URI: http://projecteuclid.org/euclid.atmp/1358950888

Abstract

We derive generalized TKNN-equations via bundle representations of the noncommutative torus with rational deformation parameter, the bundle coming from spectral projections in the torus algebra. These equations relate Chern numbers of dual bundles, which we interpret as Hall conductances for Dirac-like Hamiltonians describing magnetic Bloch electrons in a strong magnetic field. We also present their generalizations for irrational values of the deformation parameter.

Authors with CRIS profile

Giuseppe de Nittis Department Mathematik

Involved external institutions

Università degli Studi di Trieste IT Italy (IT)

How to cite

APA:

de Nittis, G., & Landi, G. (2012). Generalized TKNN-equations. Advances in Theoretical and Mathematical Physics, 16(2), 505-547.

MLA:

de Nittis, Giuseppe, and Giovanni Landi. "Generalized TKNN-equations." Advances in Theoretical and Mathematical Physics 16.2 (2012): 505-547.

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