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- W3132180244 abstract "Symmetry plays an important role in the topological band theory to remedy the eigenstates' gauge obstruction at the cost of a symmetry anomaly and zero-energy boundary modes. One can also make use of the symmetry to enumerate the topological invariants - giving a symmetry classification table. Here we consider various topological phases protected by different symmetries, and examine how the corresponding topological invariants evolve once the protecting symmetry is spontaneously lost. To our surprise, we find that the topological invariants and edge states can sometimes be robust to symmetry breaking quantum orders. This topological robustness persists as long as the mean-field Hamiltonian in a symmetry breaking ordered phase maintains its adiabatic continuity to the non-interacting Hamiltonian. For example, for a time-reversal symmetric topological phase in 2+1D, we show that the Z_2 time-reversal polarization continues to be a good topological invariant even after including distinct time-reversal breaking order parameters. Similar conclusions are drawn for various other symmetry breaking cases. Finally, we discuss that the change in the internal symmetry associated with the spontaneous symmetry breaking has to be accounted for to reinstate the topological invariants into the expected classification table." @default.
- W3132180244 created "2021-03-01" @default.
- W3132180244 creator A5072124100 @default.
- W3132180244 creator A5078489179 @default.
- W3132180244 creator A5088178081 @default.
- W3132180244 date "2021-02-22" @default.
- W3132180244 modified "2023-09-23" @default.
- W3132180244 title "Rigidity of topological invariants to symmetry breaking" @default.
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- W3132180244 doi "https://doi.org/10.1103/physrevb.103.075139" @default.
- W3132180244 hasPublicationYear "2021" @default.
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