Topology of critical chiral phases: multiband insulators and superconductors

Abstract

Recent works have proved the existence of symmetry-protected edge states in certain one-dimensional topological band insulators and superconductors at the gap-closing points which define quantum phase transitions between two topologically nontrivial phases. We show how this picture generalizes to multiband critical models belonging to any of the chiral symmetry classes AIII, BDI, or CII of noninteracting fermions in one dimension.

16 pages, 2 figures; typos corrected, added text and references

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Cited by in corpus (15)

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• Signatures of topological phase transition on a quantum critical line
• Bulk-boundary correspondence and singularity-filling in long-range free-fermion chains
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Quantization of topological indices in critical chains at low temperatures
• Topological physics in quantum critical systems
• Topology in a one-dimensional plasmonic crystal
• A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states
• From Hermitian critical to non-Hermitian point-gapped phases
• Topological states in chiral electronic chains
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Topologically nontrivial multicritical points