238 citations · 1.9k across the 53 of their papers we have counts for
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cond-mat.str-el2014
Topology of Bands in Solids : From Insulators to Dirac Matter
David Carpentier
Bloch theory describes the electronic states in crystals whose energies are distributed as bands over the Brillouin zone. The electronic states corresponding to a (few) isolated en…
cond-mat.mes-hall2014★ 174 cited
Topological index for periodically driven time-reversal invariant 2D systems
David Carpentier, Pierre Delplace, Michel Fruchart +1
We define a new -valued index to characterize the topological properties of periodically driven two dimensional crystals when the time-reversal symmetry is enforced. This inde…
cond-mat.quant-gas2014★ 38 cited
Parallel Transport and Band Theory in Crystals
Michel Fruchart, David Carpentier, Krzysztof Gawędzki
We show that different conventions for Bloch Hamiltonians on non-Bravais lattices correspond to different natural definitions of parallel transport of Bloch eigenstates. Genericall…