Resilience of the topological phases to frustration
arXiv:2006.09397 · doi:10.1038/s41598-021-86009-4
Abstract
Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) topological orders, and compare our results with the ones obtained with different boundary conditions. None of the topological order phases analyzed are altered by this change. This observation leads naturally to the conjecture that topological phases of one-dimensional systems are in general not affected by topological frustration.
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Cited by in corpus (8)
- Complexity of frustration: a new source of non-local non-stabilizerness
- Effects of defects in the XY chain with frustrated boundary conditions
- Long-range entanglement and topological excitations
- Towards a phase diagram of the topologically frustrated XY chain
- Random unitaries, Robustness, and Complexity of Entanglement
- Finite time path field theory perturbative methods for local quantum spin chain quenches
- Quantum cluster kink and ring frustration
- Resource complexity of Symmetry Protected Topological phases