2014/08/21 by Ray, Koushik, Sen, Siddhartha
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.1408.4898
We discuss means to study topological properties of wavefunctions in a time reversal invariant crystalline system through K-groups. The well-known methods for calculating K-groups of G-bundles over spheres are extended using earlier results in order to deal with wavefunctions defined over toroidal Brillouin zones, following a method due to Nash. The recently discovered topological insulator is considered as an illustrative example.