From Hermitian critical to non-Hermitian point-gapped phases
- URL: http://arxiv.org/abs/2211.13721v1
- Date: Thu, 24 Nov 2022 17:16:20 GMT
- Title: From Hermitian critical to non-Hermitian point-gapped phases
- Authors: Carlos Ortega-Taberner and Maria Hermanns
- Abstract summary: We show the equivalence of topological invariants in critical systems with non-hermitian point-gap phases.
This correspondence may carry over to other features beyond topological invariants.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recent years have seen a growing interest in topological phases beyond the
standard paradigm of gapped, isolated systems. One recent direction is to
explore topological features in non-hermitian systems that are commonly used as
effective descriptions of open systems. Another direction explores the fate of
topology at critical points, where the bulk gap collapses. One interesting
observation is that both systems, though very different, share certain
topological features. For instance, both systems can host half-integer
quantized winding numbers and have very similar entanglement spectra. Here, we
make this similarity explicit by showing the equivalence of topological
invariants in critical systems with non-hermitian point-gap phases, in the
presence of sublattice symmetry. This correspondence may carry over to other
features beyond topological invariants, and may even be helpful to deepen our
understanding of non-hermitian systems using our knowledge of critical systems,
and vice versa.
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