Random-Mass Dirac Fermions in an Imaginary Vector Potential (I): Delocalization Transition and Localization Length

Simple item page
dc.creatorTakeda, K.
dc.creatorIchinose, I.
dc.date2001-05-11
dc.date.accessioned2026-07-07T02:41:23Z
dc.date.available2026-07-07T02:41:23Z
dc.descriptionIn this and subsequent papers, one dimensional system of Dirac fermions with a random-varying mass is studied by the transfer-matrix methods which we developed recently. We investigate the effects of nonlocal correlation of the spatial-varying Dirac mass on the delocalization transition. Especially we numerically calculate both the "typical" and "mean" localization lengths as a function of energy and the correlation length of the random mass. To this end we introduce an imaginary vector potential as suggested by Hatano and Nelson and solve the eigenvalue problem. Numerical calculations are in good agreement with the results of the analytical calculations. We obtain the relation between the localization length of states and the correlation length of the random mass. In subsequent paper, we shall study Dirac fermions with a random mass of long-ranged correlations.
dc.description9 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0105235
dc.identifierhttp://arxiv.org/abs/cond-mat/0105235
dc.identifierJ. Phys. Soc. Jpn. 70 (2001) 3623
dc.identifierdoi:10.1143/JPSJ.70.3623
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17722
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleRandom-Mass Dirac Fermions in an Imaginary Vector Potential (I): Delocalization Transition and Localization Length
dc.typetext

Files

Collections

arXiv