Chiral-Symmetric Higher-Order Topological Phases of Matter

Benalcazar, Wladimir A.; Cerjan, Alexander

doi:10.1103/physrevlett.128.127601

Chiral-Symmetric Higher-Order Topological Phases of Matter

Journal Article · Wed Mar 23 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.128.127601· OSTI ID:1870457

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Princeton Univ., NJ (United States); Pennsylvania State Univ., University Park, PA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Herein, we introduce novel higher-order topological phases of matter in chiral-symmetric systems (class AIII of the tenfold classification), most of which would be misidentified as trivial by current theories. These phases are protected by “multipole chiral numbers,” bulk integer topological invariants that in 2D and 3D are built from sublattice multipole moment operators, as defined herein. The integer value of a multipole chiral number indicates how many degenerate zero-energy states localize at each corner of a system. These higher-order topological phases of matter are generally boundary-obstructed and robust in the presence of chiral-symmetry-preserving disorder.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1870457

Report Number(s):: SAND2022-3980J; 704630

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 128; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Quantum phase transitions
Symmetry protected topological states
Topological phase transition
Topological phases of matter

Chiral-Symmetric Higher-Order Topological Phases of Matter

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