Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length
Condensed Matter
2009-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0002369,
title = {Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length},
author = {Koujin Takeda and Ikuo Ichinose},
journal= {arXiv preprint arXiv:cond-mat/0002369},
year = {2009}
}
Comments
4 pages