Singular Density of States of Disordered Dirac Fermions in the Chiral Models

dc.creatorRyu, Shinsei
dc.creatorHatsugai, Yasuhiro
dc.date2001-07-25
dc.date.accessioned2026-07-07T10:31:53Z
dc.date.available2026-07-07T10:31:53Z
dc.descriptionThe 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 (DoS) around zero energy, one is a power-law dependence on energy in the intermediate energy range and the other is a diverging one at zero energy, are revealed by an extensive numerical study for large systems up to $250\times 250$. For the random hopping model, our finding of the diverging DoS within very narrow energy range reconciles previous inconsistencies between the lattice and the continuum models.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0107516
dc.identifierhttp://arxiv.org/abs/cond-mat/0107516
dc.identifierPhys.Rev.B65:033301,2002
dc.identifierdoi:10.1103/PhysRevB.65.033301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178570
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleSingular Density of States of Disordered Dirac Fermions in the Chiral Models
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