Topological aspects of generalized Harper operators
Mathematical Physics
2015-06-04 v1 High Energy Physics - Theory
math.MP
Operator Algebras
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.
Cite
@article{arxiv.1202.0902,
title = {Topological aspects of generalized Harper operators},
author = {Giuseppe De Nittis and Giovanni Landi},
journal= {arXiv preprint arXiv:1202.0902},
year = {2015}
}
Comments
8 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