Network Model for a 2D Disordered Electron System with Spin-Orbit Scattering

Abstract

We introduce a network model to describe two-dimensional disordered electron systems with spin-orbit scattering. The network model is defined by a discrete unitary time evolution operator. We establish by numerical transfer matrix calculations that the model exhibits a localization-delocalization transition. We determine the corresponding phase diagram in the parameter space of disorder scattering strength and spin-orbit scattering strength. Near the critical point we determine by statistical analysis a one-parameter scaling function and the critical exponent of the localization length to be $\nu =2.51\pm 0.18$. Based on a conformal mapping we also calculate the scaling exponent of the typical local density of states ${\alpha }_0=2.174\pm 0.003$.

12 pages, 15 figures, RevTeX

References in corpus (8)

• Magnetic Field Suppression of the Conducting Phase in Two Dimensions
• Metal-insulator transition at B=0 in a dilute two dimensional GaAs-AlGaAs hole gas
• Scaling theory of two-dimensional metal-insulator transitions
• Metallic Phase and Metal-insulator Transition in 2d Electronic Systems
• Instability of the Two-Dimensional Metallic Phase to Parallel Magnetic Field
• Unconventional Metallic State in Two Dimensional System With Broken Inversion Symmetry
• Quantum interference and electron-electron interactions at strong spin-orbit coupling in disordered systems
• Interactions and Scaling in a Disordered Two-Dimensional Metal

Cited by in corpus (31)

• Anderson Transitions
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Conformal invariance, multifractality, and finite-size scaling at Anderson localization transitions in two dimensions
• Critical regime of two dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates
• Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
• Wave function statistics at the symplectic 2D Anderson transition: bulk properties
• Wave-packet dynamics at the mobility edge in two- and three-dimensional systems
• Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Renormalization group approach to energy level statistics at the integer quantum Hall transition
• Metal-insulator transition in two-dimensional disordered systems with power-law transfer terms
• Unusual Metal to Marginal-Metal Transition in Two-Dimensional Ferromagnetic Electron Gases
• Anomalously localized states and multifractal correlations of critical wavefunctions in two-dimensional electron systems with spin-orbital interactions
• Conductance distributions in disordered quantum spin-Hall systems
• Generalized multifractality at spin quantum Hall transition
• Correlated random band matrices: localization-delocalization transitions
• Quantum site percolation on triangular lattice and the integer quantum Hall effect
• Weakly chiral networks and 2D delocalized states in a weak magnetic field
• Self-duality of One-dimensional Quasicrystals with Spin-Orbit Interaction
• Localization in non-chiral network models for two-dimensional disordered wave mechanical systems
• Real-space renormalization-group approach to the integer quantum Hall effect
• Localization and spin transport in honeycomb structures with spin-orbit coupling
• Localization properties of a two-channel 3D Anderson model
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Electronic localization in two dimensions
• Effect of spin-orbit coupling in one-dimensional quasicrystals with power-law hopping
• Scaling Theory of Few-Particle Delocalization
• Spin-dependent conductance statistics in systems with spin-orbit coupling
• Magnetotunneling spectroscopy of mesoscopic correlations in two-dimensional electron systems