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

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

2002-04-12

arxiv.org/abs/cond-mat/0204283v1

J. Phys. Soc. Jpn. 71 (2002) 2216

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 15 figures

Scientific paper

10.1143/JPSJ.71.2216

In 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.

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