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Titlebook: Quantum Dynamics of Submicron Structures; Hilda A. Cerdeira,Bernhard Kramer,Gerd Schön Book 1995 Springer Science+Business Media Dordrecht

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The Universal Critical Level Statistics γ and the correlation length exponent . is derived. The possibility of the non-conventional behavior ~ .. (0 < . < 1) of the critical TLCF at a small energy scale . ≪ 1 is discussed. A statistical hypothesis involving two kinds of energy levels is proposed to explain the sum rule violation for the critical TLCF.
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Anderson Transition in Homogeneous and Random Magnetic Fieldsaddition to a random potential, are reported. The magnetic field is incorporated via Peierls phase factors. In addition to the limit of a homogeneous magnetic field, models with random Peierls phases with and without a scalar random potential are considered. The critical behavior at the disorder—ind
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Scaling and Inelastic Scattering in the Integer Quantum-Hall-Effectar magnetic field is calculated in second order perturbation theory for electron-phonon interaction. Taking into account the multifractal properties of the eigenstates at the center of a Landau band, we find . = 2 + ./2 for a narrow quantum well and 1K ≤ . ≤ 10K in the deformation potential approxim
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