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Non-local order parameters and quantum entanglement for fermionic topological field theories

Non-local order parameters and quantum entanglement for fermionic topological field theories

We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimension protected by an orientation reversing symmetry, using topological quantum field theories (TQFTs). By formulating the order parameters in the Hilbert space of state sum TQFT, we …