An exact-diagonalization study of rare events in disordered conductors

Abstract

We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear sigma-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method.

13 pages, 5 figures

References in corpus (1)

• Statistics of energy levels and eigenfunctions in disordered systems

Cited by in corpus (10)

• Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory
• Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime
• Resonance width distribution for high-dimensional random media
• Sublocalization, superlocalization, and violation of standard single parameter scaling in the Anderson model
• Anderson Localization in Disordered Vibrating Rods
• Signatures of Prelocalized States in Classically Chaotic Systems
• Localization-delocalization transition for disordered cubic harmonic lattices
• Anomalously Localized States in the Anderson Model
• Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
• On the spatial structure of anomalously localised states in disordered conductors