Resonance width distribution for high-dimensional random media
arXiv:cond-mat/0509195 · doi:10.1103/PhysRevB.73.045103
Abstract
We study the distribution of resonance widths P(G) for three-dimensional (3D) random scattering media and analyze how it changes as a function of the randomness strength. We are able to identify in P(G) the system-inherent fingerprints of the metallic, localized, and critical regimes. Based on the properties of resonance widths, we also suggest a new criterion for determining and analyzing the metal-insulator transition. Our theoretical predictions are verified numerically for the prototypical 3D tight-binding Anderson model.
7 pages, 8 figures
References in corpus (45)
- Random-Matrix Theory of Quantum Transport
- High-Power Directional Emission from Microlasers with Chaotic Resonators
- Statistics of energy levels and eigenfunctions in disordered systems
- The Statistical Theory of Quantum Dots
- Ray and wave chaos in asymmetric resonant optical cavities
- Quantum Effects in Coulomb Blockade
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Corrections to scaling at the Anderson transition
- Fluctuations of the inverse participation ratio at the Anderson transition
- Chaotic Scattering on Graphs
- Quantum Graphs: A simple model for Chaotic Scattering
- Nearly Localized States in Weakly Disordered Conductor
- Statistics of pre-localized states in disordered conductors
- Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering
- Spectral Rigidity and Eigenfunction Correlations at the Anderson Transition
- Probing Anderson localization of light via decay rate statistics
- S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonances
- Multifractality: generic property of eigenstates of 2D disordered metals.
- Dimensionality dependence of the wave function statistics at the Anderson transition
- Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
- Fluctuations of the correlation dimension at metal-insulator transitions
- `One-sided' log-normal distribution of conductances of a disordered quantum wire
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- Critical statistics in a power-law random banded matrix ensemble
- Fluctuation of the Correlation Dimension and the Inverse Participation Number at the Anderson Transition
- Probability distribution of the conductance at the mobility edge
- Statistics of Rare Events in Disordered Conductors
- LEVEL CORRELATIONS DRIVEN BY WEAK LOCALIZATION IN 2-D SYSTEMS
- Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime
- Signature of Dynamical Localization in the Lifetime Distribution of Wave-Chaotic Dielectric Resonators
- Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model
- Probing the eigenfunction fractality with a stop watch
- Statistics of resonances and delay times: A criterion for Metal-Insulator transitions
- Universal Fluctuations in Spectra of Disordered Systems at the Anderson Transition
- Time Delay Correlations and Resonances in 1D Disordered Systems
- What is the right form of the probability distribution of the conductance at the mobility edge?
- Distribution of fractal dimensions at the Anderson transition
- Distribution of resonance widths in localized tight-binding models
- Statistics of resonances and of delay times in quasiperiodic Schr"odinger equations
- Fluctuations of the Energy Levels Number at the Mobility Edge
- Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder
- Signatures of Prelocalized States in Classically Chaotic Systems
- Signature of ballistic effects in disordered conductors
- An exact-diagonalization study of rare events in disordered conductors
- Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
Cited by in corpus (21)
- Dynamics of Anderson localization in open 3D media
- Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
- Finite-size scaling analysis of localization transition for scalar waves in a 3D ensemble of resonant point scatterers
- Subradiant hybrid states in the open 3D Anderson-Dicke model
- Population of collective modes in light scattering by many atoms
- Interplay of different environments in open quantum systems: Breakdown of the additive approximation
- Transverse confinement of waves in 3D random media
- Scattering at the Anderson transition: Power--law banded random matrix model
- Statistics of Resonances in a Semi-infinite Disordered Chain
- Resonances in one-dimensional Disordered Chain
- Spin-polarized quantum transport through a T-shape quantum dot-array: a model of spin splitter
- Optimal efficiency of quantum transport in a disordered trimer
- Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
- Statistics of Resonances in One Dimensional Continuous Systems
- Resonance distribution in the quantum random Lorentz gas
- Scattering and transport statistics at criticality
- Scaling properties of delay times in one-dimensional random media
- Roles of cooperative effects and disorder in photon localization: The case of a vector radiation field
- Statistics of resonances in one-dimensional disordered systems
- Effective-medium approach to the resonance distribution of wave scattering in a random point field
- Density of reflection resonances in one-dimensional disordered Schrödinger operators