A classification of 2D random Dirac fermions

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Published 8 March 2002 • Published under licence by IOP Publishing Ltd
, , Citation Denis Bernard and André LeClair 2002 J. Phys. A: Math. Gen. 35 2555 DOI 10.1088/0305-4470/35/11/303

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1 Service de Physique Théorique de SaclayLaboratoire de la Direction des Sciences de la Matière du Commisariat à l'Energie Atomique, URA 2306 du CNRS., F-91191, Gif-sur-Yvette, France

2 Newman Laboratory, Cornell University, Ithaca, NY 14853, USA

3 Member of CNRS.

Dates

  1. Received 1 November 2001
  2. Published

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0305-4470/35/11/2555

Abstract

We present a detailed classification of random Dirac Hamiltonians in two spatial dimensions based on the implementation of discrete symmetries. Our classification is slightly finer than that of random matrices and contains 13 classes. We also extend this classification to non-Hermitian Hamiltonians with and without a Dirac structure.

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