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An index for two-dimensional SPT states

Published 4 Jan 2021 in math-ph, cond-mat.str-el, math.MP, and quant-ph | (2101.00801v3)

Abstract: We define an index for 2d $G$-invariant invertible states of bosonic lattice systems in the thermodynamic limit for a finite symmetry group $G$. We show that this index is an invariant of SPT phase.

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