Topology dependent quantities at the Anderson transition
arXiv:cond-mat/0004402 · doi:10.1103/PhysRevLett.84.3915
Abstract
The boundary condition dependence of the critical behavior for the three dimensional Anderson transition is investigated. A strong dependence of the scaling function and the critical conductance distribution on the boundary conditions is found, while the critical disorder and critical exponent are found to be independent of the boundary conditions.
Cited by in corpus (41)
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Multifractal finite-size-scaling and universality at the Anderson transition
- Numerical Analysis of the Anderson Localization
- Reconciling Conductance Fluctuations and the Scaling Theory of Localization
- Dimensionality dependence of the wave function statistics at the Anderson transition
- Localization transition on complex networks via spectral statistics
- Finite-size scaling for the Ising model on the Moebius strip and the Klein bottle
- Critical Exponent of the Anderson Transition using Massively Parallel Supercomputing
- Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder
- Which Kubo formula gives the exact conductance of a mesoscopic disordered system?
- Numerical verification of universality for the Anderson transition
- Criticality in amorphous topological matter -- beyond the universal scaling paradigm
- Symmetry, dimension and the distribution of the conductance at the mobility edge
- Metals with Small Electron Mean-Free Path: Saturation versus Escalation of Resistivity
- Quantum Multicriticality in Disordered Weyl Semimetal
- Study of the Localization Transition on a Cayley-tree via Spectral Statistics
- Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices
- Resistivity of a Metal between the Boltzmann Transport Regime and the Anderson Transition
- Universality of the critical conductance distribution in various dimensions
- Transport and Localisation in the Presence of Strong Structural and Spin Disorder
- Boundary Conditions, the Critical Conductance Distribution, and One-Parameter Scaling
- Delocalization and scaling properties of low-dimensional quasiperiodic systems
- Reentrant behaviour and universality in the Anderson transition
- Conductance fluctuations and boundary conditions
- Metal-insulator transition in three dimensional Anderson model: universal scaling of higher Lyapunov exponents
- Failure of single-parameter scaling of wave functions in Anderson localization
- Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
- Doped magnetic moments in a disordered electron system: insulator-metal transition, spin glass and `cmr'
- Unconventional scaling theory in disorder-driven quantum phase transition
- Scattering and transport statistics at criticality
- Borel-Padé re-summation of the -functions describing Anderson localisation in the Wigner-Dyson symmetry classes
- Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model
- Phase Diagram for Anderson Disorder: beyond Single-Parameter Scaling
- The probability distribution of the conductance in anisotropic systems
- The metal--insulator transition in disordered systems: a new approach to the critical behaviour
- Boundary hopping and the mobility edge in the Anderson model in three dimensions
- Analytic Trajectories for Mobility Edges in the Anderson Model
- Quantum Hall criticality in an amorphous Chern insulator
- Quantum transport through mesoscopic disordered interfaces, junctions, and multilayers
- Localization and spin transport in honeycomb structures with spin-orbit coupling
- Spectral properties of three-dimensional Anderson model