Advances in Theoretical and Mathematical Physics

Generalized TKNN-equations

Giuseppe De Nittis and Giovanni Landi

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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.

Article information

Source
Adv. Theor. Math. Phys., Volume 16, Number 2 (2012), 505-547.

Dates
First available in Project Euclid: 23 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1358950888

Mathematical Reviews number (MathSciNet)
MR3019411

Zentralblatt MATH identifier
1347.81085

Citation

De Nittis, Giuseppe; Landi, Giovanni. Generalized TKNN-equations. Adv. Theor. Math. Phys. 16 (2012), no. 2, 505--547. https://projecteuclid.org/euclid.atmp/1358950888


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