A Z$_2$ index of Dirac operator with time reversal symmetry
Mesoscale and Nanoscale Physics
2009-09-28 v1 High Energy Physics - Theory
Abstract
With time reversal symmetry a Dirac operator has vanishing index and Chern number. We show that we can nevertheless define a nontrivial Z index as well as a corresponding topological invariant given by gauge field, which implies that such a Dirac operator is topologically nontrivial.
Keywords
Cite
@article{arxiv.0905.3639,
title = {A Z$_2$ index of Dirac operator with time reversal symmetry},
author = {T. Fukui and T. Fujiwara},
journal= {arXiv preprint arXiv:0905.3639},
year = {2009}
}
Comments
5 pages, 2 figures