Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length

Details Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length

2000-02-24

arxiv.org/abs/cond-mat/0002369v1

Physics

Condensed Matter

4 pages

Scientific paper

10.1143/JPSJ.70.3623

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.

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