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

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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 (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.
4 pages, 4 figures

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Mesoscale and Nanoscale Physics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/178570

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0107516
 http://arxiv.org/abs/cond-mat/0107516
 Phys.Rev.B65:033301,2002
 doi:10.1103/PhysRevB.65.033301

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arXiv