Critical level spacing distribution of two-dimensional disordered systems with spin-orbit coupling

Abstract

The energy level statistics of 2D electrons with spin-orbit scattering are considered near the disorder induced metal-insulator transition. Using the Ando model, the nearest-level-spacing distribution is calculated numerically at the critical point. It is shown that the critical spacing distribution is size independent and has a Poisson-like decay at large spacings as distinct from the Gaussian asymptotic form obtained by the random-matrix theory.

7 pages REVTeX, 2 uuencoded, gzipped figures; J. Phys. Condensed Matter, in print

References in corpus (4)

• Universal Spectral Correlations at the Mobility Edge
• Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model
• Does a magnetic field modify the critical behaviour at the metal-insulator transition in 3-dimensional disordered systems?
• Multifractal properties of critical eigenstates in two-dimensional systems with symplectic symmetry

Cited by in corpus (10)

• Anderson transition in three-dimensional disordered systems with symplectic symmetry
• Crossover from critical orthogonal to critical unitary statistics at the Anderson transition
• Critical spectral statistics in two-dimensional interacting disordered systems
• Critical Level Statistics in Two-dimensional Disordered Electron Systems
• Energy-level statistics and localization of 2d electrons in random magnetic fields
• Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems
• Dependence of critical level statistics on the sample shape
• Influence of boundary conditions on level statistics and eigenstates at the metal insulator transition
• Critical level statistics and anomalously localized states at the Anderson transition
• Critical Exponent of the Localization Length for the Symplectic Case