Bulk-edge correspondence with generalized chiral symmetry

Abstract

The bulk-edge correspondence in topological phases is extended to systems with the generalized chiral symmetry, where the conventional chiral symmetry is broken. In such systems, we find that the edge state exhibits an unconventional behavior in the presence of the symmetry breaking by the mass, which is explored explicitly in the case of a deformed Su-Schrieffer-Heeger model. The localization length of the edge states diverges at a certain critical mass, where the edge state touches to the bulk band. The edge state is specified by an imaginary wave vector that becomes real at the touching energy.

11 pages, 9 figures

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• Novel electric field effects on Landau levels in Graphene
• Possible Verification of Tilted Anisotropic Dirac Cone in α-(BEDT-TTF)_2 I_3 Using Interlayer Magnetoresistance
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Cited by in corpus (5)

• Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Multiple topological corner states in the continuum of extended kagome lattice
• Energy symmetry and interlayer wave function ratio of tunneling electrons in partially overlapped graphene