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@article{faucris.244862438,
abstract = {For parity-conserving fermionic chains, we review how to associate Z(2)-indices to ground states in finite systems with quadratic and higher-order interactions as well as to quasifree ground states on the infinite CAR algebra. It is shown that the Z(2)-valued spectral flow provides a topological obstruction for two systems to have the same Z(2)-index. A rudimentary definition of a Z(2)-phase label for a class of parity-invariant and pure ground states of the one-dimensional infinite CAR algebra is also provided. Ground states with differing phase labels cannot be connected without a closing of the spectral gap of the infinite GNS Hamiltonian.},
author = {Bourne, Chris and Schulz-Baldes, Hermann},
doi = {10.1142/S0129055X20500282},
faupublication = {yes},
journal = {Reviews in Mathematical Physics},
note = {CRIS-Team WoS Importer:2020-11-06},
peerreviewed = {Yes},
title = {{On} {Z}(2)-indices for ground states of fermionic chains},
volume = {32},
year = {2020}
}