Out of equilibrium, interacting SPT phases are classified by their unitary symmetries alone, so time-reversal-protected phases become trivial and their zero-energy edge peaks broaden under low-frequency noise.
In that context, one must also include phases which result from a spontaneous breaking of the ZP 2 fermion parity symmetry, which results in boundary Majorana modes
1 Pith paper cite this work. Polarity classification is still indexing.
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Interacting Symmetry-Protected Topological Phases Out of Equilibrium
Out of equilibrium, interacting SPT phases are classified by their unitary symmetries alone, so time-reversal-protected phases become trivial and their zero-energy edge peaks broaden under low-frequency noise.