Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems

Abstract

The statistics of the energy eigenvalues at the metal-insulator-transition of a two-dimensional disordered system with spin-orbit interaction is investigated numerically. The critical exponent $\nu$ is obtained from the finite-size scaling of the number $J_0$ which is related to the probability $Q_n(s)$ of having $n$ energy levels within an interval of width $s$. In contrast to previous estimates, we find $\nu =2.32\pm 0.14$ close to the value of the two-dimensional quantum Hall system.

6 pages LaTeX, 2 ps-figures and style files included. To appear in Journ. of Physics: Condensed Matter (August 1997)

Cited by in corpus (11)

• Anderson Transitions
• The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Critical regime of two dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates
• Critical spectral statistics in two-dimensional interacting disordered systems
• Energy-level statistics and localization of 2d electrons in random magnetic fields
• Influence of boundary conditions on level statistics and eigenstates at the metal insulator transition
• Localization in non-chiral network models for two-dimensional disordered wave mechanical systems
• Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
• On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes
• On the role of the symmetry parameter $\beta$ in the strongly localized regime
• Scaling Theory of Few-Particle Delocalization