Parallel transport and band theory in crystals
Laboratoire de Physique, École Normale Supérieure de Lyon - 47 allée d'Italie, 69007 Lyon, France
Received: 24 March 2014
Accepted: 3 June 2014
We show that different conventions for Bloch Hamiltonians on non-Bravais lattices correspond to different natural definitions of parallel transport of Bloch eigenstates. Generically the Berry curvatures associated with these parallel transports differ, while physical quantities are naturally related to a canonical choice of the parallel transport.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 71.20.-b – Electron density of states and band structure of crystalline solids / 73.43.Cd – Theory and modeling
© EPLA, 2014