Effects of Long-Range Correlations in Random-Mass Dirac Fermions

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dc.creatorTakeda, K.
dc.creatorIchinose, I.
dc.date2002-04-12
dc.date.accessioned2026-07-07T02:45:01Z
dc.date.available2026-07-07T02:45:01Z
dc.descriptionIn the previous paper, we studied the random-mass Dirac fermion in one dimension by using the transfer-matrix methods. We furthermore employed the imaginary vector potential methods for calculating the localization lengths. Especially we investigated effects of the nonlocal but short-range correlations of the random mass. In this paper, we shall study effects of the long-range correlations of the random mass especially on the delocalization transition and singular behaviours at the band center. We calculate localization lengths and density of states for various nonlocally correlated random mass. We show that there occurs a "phase transition" as the correlation length of the random Dirac mass is varied. The Thouless formula, which relates the density of states and the localization lengths, plays an important role in our investigation.
dc.description12 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0204283
dc.identifierhttp://arxiv.org/abs/cond-mat/0204283
dc.identifierJ. Phys. Soc. Jpn. 71 (2002) 2216
dc.identifierdoi:10.1143/JPSJ.71.2216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19163
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleEffects of Long-Range Correlations in Random-Mass Dirac Fermions
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