Topological aspects of generalized Harper operators

Abstract

A generalized version of the TKNN-equations computing Hall conductances for generalized Dirac-like Harper operators is derived. Geometrically these equations relate Chern numbers of suitable (dual) bundles naturally associated to spectral projections of the operators.

arXiv comment8 pages; needs aipproc.cls and corresponding style files. To appear in: "The Eight International Conference on Progress in Theoretical Physics", Mentouri University, Constantine, Algeria, October 2011; Conference proceedings of the AIP, edited by N. Mebarki and J. Mimouni

Cited by in corpus (1)

• Topological aspects in the photonic crystal analog of single-particle transport in quantum Hall systems