2000/02/24 by K. Takeda, Koujin Takeda, Ikuo Ichinose +1 · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #cond-mat #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.70.3623
published as J. Phys. Soc. Jpn. 70 (2001) 3623 · 4 pages
arxiv created 2000/02/24 · openalex publication_date 2001/12/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.