Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journalArticlepeer-review

548 Scopus citations


A criterion to determine the existence of zero-energy edge states is discussed for a class of particle-hole symmetric Hamiltonians. A “loop” in a parameter space is assigned for each one-dimensional bulk Hamiltonian, and its topological properties, combined with the chiral symmetry, play an essential role. It provides a unified framework to discuss zero-energy edge modes for several systems such as fully gapped superconductors, two-dimensional [Formula presented]-wave superconductors, and graphite ribbons. A variance of the Peierls instability caused by the presence of edges is also discussed.

Original languageEnglish (US)
JournalPhysical review letters
Issue number7
StatePublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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