A Z$_2$ index of Dirac operator with time reversal symmetry

Details A Z$_2$ index of Dirac operator with time reversal symmetry A Z$_2$ index of Dirac operator with time reversal symmetry

2009-05-22

arxiv.org/abs/0905.3639v1

J.Phys.A42:362003,2009

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1088/1751-8113/42/36/362003

With time reversal symmetry a Dirac operator has vanishing index and Chern
number. We show that we can nevertheless define a nontrivial Z$_2$ index as
well as a corresponding topological invariant given by gauge field, which
implies that such a Dirac operator is topologically nontrivial.

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