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

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journalArticlepeer-review

422 Scopus citations

Abstract

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
Volume89
Issue number7
DOIs
StatePublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems'. Together they form a unique fingerprint.

Cite this