Crossover from critical orthogonal to critical unitary statistics at the Anderson transition
arXiv:cond-mat/9607070 · doi:10.1103/PhysRevLett.77.1552
Abstract
We report a novel scale-independent, Aharonov-Bohm flux controlled crossover from critical orthogonal to critical unitary statistics at the disorder induced metal insulator transition. Our numerical investigations show that at the critical point the level statistics are definitely distinct and determined by fundamental symmetries. The latter is similar to the behavior of the metallic phase known from random matrix theory. The Aharonov-Bohm flux dependent crossover is characteristic of the critical ensemble.
arXiv comment4 pages RevTeX, 4 epsf-figures included, to appear in Physical Review Letters (August 1996)
References in corpus (6)
- Universal Spectral Correlations at the Mobility Edge
- Does a magnetic field modify the critical behaviour at the metal-insulator transition in 3-dimensional disordered systems?
- Critical Exponents for the Metal--Insulator Transition in Disordered Systems
- Spectral Correlations from the Metal to the Mobility Edge
- Universal Fluctuations in Spectra of Disordered Systems at the Anderson Transition
- Critical level spacing distribution of two-dimensional disordered systems with spin-orbit coupling
Cited by in corpus (38)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
- Universality classes of the Anderson Transitions Driven by non-Hermitian Disorder
- Boundary conditions at the mobility edge
- Anomalous diffusion at the Anderson transitions
- Adequacy of Si:P Chains as Fermi-Hubbard Simulators
- Level spacings at the metal-insulator transition in the Anderson Hamiltonians and multifractal random matrix ensembles
- Critical statistics in a power-law random banded matrix ensemble
- Dimensional dependence of the metal-insulator transition
- Probability distribution of the conductance at the mobility edge
- Energy-level statistics at the metal-insulator transition in anisotropic systems
- Extended Fractons and Localized Phonons on Percolation Clusters
- Three-Dimensional Quantum Percolation Studied by Level Statistics
- Renormalization group approach to energy level statistics at the integer quantum Hall transition
- Energy levels and their correlations in quasicrystals
- Energy-level statistics and localization of 2d electrons in random magnetic fields
- Metal-insulator transition in two-dimensional disordered systems with power-law transfer terms
- Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems
- One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions
- Dependence of critical level statistics on the sample shape
- Levitation of quantum Hall critical states in a lattice model with spatially correlated disorder
- Levitation of the quantum Hall extended states in the 0 limit
- Influence of boundary conditions on level statistics and eigenstates at the metal insulator transition
- NMR lineshape in Metallic Nanoparticles: a Matrix Continued Fraction evaluation
- Anderson transition of three dimensional phonon modes
- Real-space renormalization-group approach to the integer quantum Hall effect
- Universal scaling, beta function, and metal-insulator transitions
- Many-body delocalization with random vector potentials
- Universal Scaling Theory of the Boundary Geometric Tensor in Disordered Metals
- Spectral statistics of disordered metals in the presence of several Aharonov-Bohm fluxes
- Critical Level-Spacing Distribution for General Boundary Conditions
- Effect of a magnetic flux on the critical behavior of a system with long range hopping
- One-parameter superscaling in three dimensions
- Magnetic Field Effect for Two Electrons in a Two Dimensional Random Potential
- Comment on ``Critical Behavior in Disordered Quantum Systems Modified by Broken Time--Reversal Symmetry''
- From percolation transition to Anderson localization in one-dimensional speckle potentials
- Universal conductance distribution in three dimensional systems in high magnetic fields