Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.
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Z2-protected Majorana vortex end modes appear in time-reversal invariant higher-order topological insulators and in topologically trivial insulators with all surfaces gapped when chemical potential lies between the two single-TI critical values.
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Operator Space Transport and the Emergence of Boundary Time Crystals
Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.