Effects of Correlated Noise in Random-Mass Dirac Fermions
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概要
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In the previous paper, we studied the random-mass Dirac fermion in one dimension by using the transfer-matrix methods. We furthermore employed the imaginary vector potential methods for calculating the localization lengths. In particular, we investigated 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 and singular behaviors at the band center. We calculate localization lengths and density of states for various nonlocally correlated random mass. We show that there occurs a "phase transition" as the correlation length of the random Dirac mass is varied. The Thouless formula, which relates the density of states and the localization lengths, plays an important role in our investigation.
- 社団法人日本物理学会の論文
- 2002-09-15
著者
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Ichinose Ikuo
Department Of Electrical And Computer Engineering Nagoya Institule Of Technology
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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
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Takeda Koujin
Institute For Cosmic Ray Research University Of Tokyo
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Ichinose Ikuo
Department of Applied Physics, Nagoya Institute of Technology, Nagoya 466-8555, Japan
関連論文
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- On Quantum Theory of General-Relativistic Many-Particle Systems. II : Friedman-Robertson-Walker Universes with Quantized Matter
- Random-Mass Dirac Fermions in an Imaginary Vector Potential: Delocalization Transition and Localization Length
- Effective Field Theory for Two-Species Bosons in an Optical Lattice: Multiple Order, the Nambu--Goldstone Bosons, the Higgs Mode, and Vortex Lattice