Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journalConference articlepeer-review

12 Scopus citations


Two-dimensional graphite sheets with a certain type of edges are known to support boundary states localized near the edges. Forming a flat band with a sharp peak in the density of states at the Fermi energy, they can trigger a magnetic instability or a distortion of the lattice in the presence of electron-electron or electron-phonon interactions. We shall discuss a relationship between chiral symmetry, which is the origin of the zero-energy edge states, and several types of induced orders such as spin density waves or lattice distortions. We also investigate electron correlation effects on the edge states for a wrapped quasi one-dimensional geometry, i.e., carbon nanotube, by means of the renormalization group and the open boundary bosonization.

Original languageEnglish (US)
Pages (from-to)679-683
Number of pages5
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-3
StatePublished - Apr 2004
Externally publishedYes
Event15th International Conference on ELectronic Propreties - Nara, Japan
Duration: Jul 14 2003Jul 18 2003

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


  • Carbon nanotube
  • Chiral symmetry
  • Chiral symmetry breaking
  • Edge states


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