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Random-Mass Dirac Fermions in an Imaginary Vector Potential (II): Long-Range Correlated Random Mass

2001/05/11 by K. Takeda, Kenta Takeda, Ikuo Ichinose +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum chaos and dynamical systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0105236

6 pages, 14 figures

arxiv created 2001/05/11 · openalex publication_date 2001/05/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the previous paper, we studied the random-mass Dirac fermion in one dimension by using the transfer-matrix methods and by introducing an imaginary vector potential in order to calculate the localization lengths. Especially we considered 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. The results depend on how randomness is introduced in the Dirac mass.

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