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Topological Disorder Parameter
[article]
2022
arXiv
pre-print
We introduce a many-body topological invariant, called the topological disorder parameter (TDP), to characterize gapped quantum phases with global internal symmetry in (2+1)d. TDP is defined as the constant correction that appears in the ground state expectation value of a partial symmetry transformation applied to a connected spatial region M, the absolute value of which scales generically as exp(-α l+γ) where l is the perimeter of M and γ is the TDP. Motivated by a topological quantum field
arXiv:2203.08847v1
fatcat:ja6jgawjsfg2zcjsinhqnknu5q