Maximum-entropy model for quantum-mechanical interference effects in metallic conductors

作者: Pier A. Mello , A. Douglas Stone

DOI: 10.1103/PHYSREVB.44.3559

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摘要: We show that all the known quantum-mechanical interference effects characteristic of disordered conductors in metallic limit can be obtained from a ``maximum-entropy model,'' based on transfer-matrix formulation, which is independent any particular form microscopic Hamiltonian. In particular, we have derived weak-localization effect and associated backscattering peak, as well universal conductance fluctuations long-range correlations transmission probabilities. find precise quantitative agreement with Green-function calculations evaluated quasi-one-dimensional limit. define two random-matrix ensembles characterizing systems without time-reversal symmetry (the analogs well-known orthogonal unitary ensembles), that, within model, breaking has expected these phenomena. The model not been shown to yield behavior two- or three-dimensional limits, appear outside its current range validity.

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