Critical Level Statistics in Two-dimensional Disordered Electron Systems

Abstract

The level statistics in the two dimensional disordered electron systems in magnetic fields (unitary ensemble) or in the presence of strong spin-orbit scattering (symplectic ensemble) are investigated at the Anderson transition points. The level spacing distribution functions $P(s)$'s are found to be independent of the system size or of the type of the potential distribution, suggesting the universality. They behave as $s^2$ in the small $s$ region in the former case, while $s^4$ rise is seen in the latter.

LaTeX, to be published in J. Phys. Soc. Jpn. (Letter) Nov., Figures will be sent on request

References in corpus (2)

• Scaling of Level Statistics at the Disorder-Induced Metal-Insulator Transition
• Critical level spacing distribution of two-dimensional disordered systems with spin-orbit coupling

Cited by in corpus (15)

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• 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
• Spectral Properties of the Chalker-Coddington Network
• Critical level statistics and anomalously localized states at the Anderson transition
• Real-space renormalization-group approach to the integer quantum Hall effect
• The Influence of Percolation in the generalized Chalker-Coddington Model
• Quantum-Hall to insulator transition
• On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes
• Scaling Behavior of Level Statistics in Quantum Hall Regime
• Universal conductance distribution in three dimensional systems in high magnetic fields