Random-Mass Dirac Fermions in an Imaginary Vector Potential: Delocalization Transition and Localization Length
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概要
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In this paper, one dimensional system of Dirac fermions with a random-varying mass is studied by the transfer-matrix method. We investigate the effects of nonlocal correlation of the spatial-varying Dirac mass on the delocalization transition. In particular, 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. We obtain a relation between the localization length of states and the correlation length of the random mass.
- Physical Society of Japanの論文
- 2001-12-15
著者
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Ichinose Ikuo
Department Of Electrical And Computer Engineering Nagoya Institule Of Technology
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Takeda Koujin
Institute For Cosmic Ray Research University Of Tokyo
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Ichinose Ikuo
Department of Electrical and Computer Engineering, Nagoya Institute of Technology,
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Takeda Koujin
Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582
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Ichinose Ikuo
Department of Applied Physics, Nagoya Institute of Technology, Nagoya 466-8555, Japan
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