Singular density of states of disordered Dirac fermions in chiral models

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


The Dirac fermion in the random chiral models is studied, which includes the random gauge field model and the random hopping model. We focus on a connection between continuum and lattice models to give a clear perspective for the random chiral models. Two distinct structures of density of states around zero energy, one is a power-law dependence on energy in the intermediate energy range and the other is a peak at zero energy, are revealed by an extensive numerical study for large systems up to 250×250. For the random hopping model, the above findings reconcile previous inconsistencies between the lattice and the continuum models.

Original languageEnglish (US)
Article number033301
Pages (from-to)333011-333014
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number3
StatePublished - Jan 15 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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