Singular density of states of disordered Dirac fermions in chiral models

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journalArticlepeer-review


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 (formula presented) For the random hopping model, the above findings reconcile previous inconsistencies between the lattice and the continuum models.

Original languageEnglish (US)
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number3
StatePublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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