Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder

Abstract

The statistics of eigenfunction amplitudes are studied in mesoscopic disordered electron systems of finite size. The exact eigenspectrum and eigenstates are obtained by solving numerically Anderson Hamiltonian on a three-dimensional lattice for different strengths of disorder introduced either in the potential on-site energy (``diagonal'') or in the hopping integral (``off-diagonal''). The samples are characterized by the exact zero-temperature conductance computed using real-space Green function technique and related Landauer-type formula. The comparison of eigenstate statistics in two models of disorder shows sample-specific details which are not fully taken into account by the conductance, shape of the sample and dimensionality. The wave function amplitude distributions for the states belonging to different transport regimes within the same model are contrasted with each other as well as with universal predictions of random matrix theory valid in the infinite conductance limit.

9 pages, 7 EPS embedded figures, final published version (in color)

References in corpus (8)

• Statistics of energy levels and eigenfunctions in disordered systems
• Multifractality and critical fluctuations at the Anderson transition
• Correlations due to localization in quantum eigenfunctions of disordered microwave cavities
• Topology dependent quantities at the Anderson transition
• Anderson localization in bipartite lattices
• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• Resistivity of a Metal between the Boltzmann Transport Regime and the Anderson Transition
• Bond-disordered Anderson model on a two dimensional square lattice - chiral symmetry and restoration of one-parameter scaling

Cited by in corpus (20)

• 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
• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
• Resonance width distribution for high-dimensional random media
• Sublocalization, superlocalization, and violation of standard single parameter scaling in the Anderson model
• Signatures of Prelocalized States in Classically Chaotic Systems
• Anderson transition in systems with chiral symmetry
• Localization-delocalization transition for disordered cubic harmonic lattices
• Quest for Rare Events in three-dimensional Mesoscopic Disordered Metals
• 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
• Critical level statistics and anomalously localized states at the Anderson transition
• Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Magnetic adatoms in two and four terminal graphene nanoribbons: A comparison between their spin polarized transport
• Localization of electronic states in amorphous materials: recursive Green's function method and the metal-insulator transition at E<>0
• Spin Hall conductance in a Y-shaped junction device in presence of tunable spin-orbit coupling
• Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition
• Interplay of Rashba spin orbit coupling and disorder in the conductance properties of a four terminal junction device