228 citations · 724 across the 35 of their papers we have counts for
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math-ph2020★ 26 cited
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 . This index takes values in…
math-ph2020★ 57 cited
General Lieb-Schultz-Mattis type theorems for quantum spin chains
Yoshiko Ogata, Yuji Tachikawa, Hal Tasaki
We develop a general operator algebraic method which focuses on projective representations of symmetry group for proving Lieb-Schultz-Mattis type theorems, i.e., no-go theorems tha…