C. Bourne

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20182020

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math-ph2020

The classification of symmetry protected topological phases of one-dimensional fermion systems

Chris Bourne, Yoshiko Ogata

We introduce an index for symmetry protected topological (SPT) phases of infinite fermionic chains with an on-site symmetry given by a finite group $G$ . This index takes values in…

math-ph2019

On $Z_{2}$ -indices for ground states of fermionic chains

Chris Bourne, Hermann Schulz-Baldes

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…

The classification of symmetry protected topological phases of one-dimensional fermion systems

On Z2​-indices for ground states of fermionic chains

On $Z_{2}$ -indices for ground states of fermionic chains