Self-Consistent Approach to Localisation and the Anderson Transition : Condensed Matter and Statistical Physics
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概要
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We consider a system of non-interacting electrons moving on a regular lattice in the presence of an on-site random potential. With only minimal algebraic assumptions we derive a set of nonlinear self-consistent equations for vertex functions from which the dynamical conductivity can be calculated from the standard Kubo formula. In the limit of weak disorder our equations reproduce the self-consistent equations for the conductivity obtained by Vollhardt and Wolfle and suggest the existence of an Anderson transition from extended (finite conductivity) to localised (zero conductivity) states in three dimensions with localised states only in one and two dimensions. For illustrative purposes we evaluate some auxiliary expressions analytically for the Lloyd model.
- 理論物理学刊行会の論文
- 1991-12-25
著者
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Thompson C
Univ. Melbourne Victoria
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MATSUBARA Takahiko
Department of Physics and Astronomy, The Johns Hopkins University
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MATSUBARA Takeo
Department of Physics, Kyoto University
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MATSUBARA Takeo
ICMT
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THOMPSON Colin
Yukawa Institute for Theoretical Physics, Kyoto University
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Matsubara Takeo
Department Of Applied Physics Okayama University Of Science
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THOMPSON Colin
Mathematics Department, University of Melbourne
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THOMPSON Colin
Yukawa Institute for Theoretical Physics, Kyoto University:Mathematics Department, University of Melbourne
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MATSUBARA Takeo
Department of Applied Physics, Okayama University of Science
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