A Z₂ index of Dirac operator with time reversal symmetry
classification
❄️ cond-mat.mes-hall
hep-th
keywords
diracindexoperatornontrivialreversalsymmetrytimechern
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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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