Speaker
Taro Kimura
(Université de Bourgogne)
Description
We show that, for each symmetry class based on the tenfold way classification of topological insulators/superconductors, the effective Dirac operator obtained by integrating out the additional bulk direction takes a value in the corresponding classifying space, from which we obtain the flat band Hamiltonian. We then obtain the overlap Dirac operator for each symmetry class and establish the Ginsparg-Wilson relation associated with $C$ and $T$ symmetries, and also the mod-two index theorem.
Primary author
Taro Kimura
(Université de Bourgogne)
