Generalized Dorokhov-Mello-Pereyra-Kumar equation for strongly localized regime: Numerical solution
نویسندگان
چکیده
منابع مشابه
Quantum transport in disordered wires: Equivalence of one-dimensional σ model and Dorokhov-Mello-Pereyra-Kumar equation
The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the average conductance by Zirnbauer [PRL 69, 1584 (19...
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A detailed analysis of the distribution of conductances P(g) of quasi-one-dimensional disordered wires in the metal-insulator crossover is presented. P(g) obtained from a Monte Carlo solution of the Dorokhov, Mello, Pereyra, and Kumar (DMPK) scaling equation is in full agreement with "tight-binding" numerical calculations of bulk disordered wires. Perturbation theory is shown to be valid even f...
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A detailed analysis of the statistical distribution of conductance P(g) of quasi-one-dimensional disordered wires in the metal–insulator crossover is presented. The distribution P(g) is obtained from a Monte Carlo solution of the Dorokhov, Mello, Pereyra and Kumar (DMPK) scaling equation, showing full agreement with ‘tight-binding’ numerical calculations of bulk disordered wires. Perturbation t...
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The exact solution of the Dorokhov-Mello-Pereyra-Kumar-equation for quasi one-dimensional disordered conductors in the unitary symmetry class is employed to calculate all m-point correlation functions by a generalization of the method of orthogonal polynomials. We obtain closed expressions for the first two conductance moments which are valid for the whole range of length scales from the metall...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2007
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.76.155320