Influence of boundary conditions on level statistics and eigenstates at the metal insulator transition

Abstract

We investigate the influence of the boundary conditions on the scale invariant critical level statistics at the metal insulator transition of disordered three-dimensional orthogonal and two-dimensional unitary and symplectic tight-binding models. The distribution of the spacings between consecutive eigenvalues is calculated numerically and shown to be different for periodic and Dirichlet boundary conditions whereas the critical disorder remains unchanged. The peculiar correlations of the corresponding critical eigenstates leading to anomalous diffusion seem not to be affected by the change of the boundary conditions.

6 pages LaTeX2e, 3 ps-figures included. Proceedings of "Percolation and Disordered systems", Rauischholzhausen, Germany 1998; to appear in Physica A

References in corpus (5)

• Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
• Boundary conditions at the mobility edge
• Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems
• Dependence of critical level statistics on the sample shape
• The Effect of Resonances on Diffusive Scattering

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• Two-eigenfunction correlation in a multifractal metal and insulator
• Critical statistics in a power-law random banded matrix ensemble
• Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak
• Critical regime of two dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates
• Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles
• Anderson transition and multifractals in the spectrum of the Dirac operator of Quantum Chromodynamics at high temperature
• Renormalization group approach to energy level statistics at the integer quantum Hall transition
• Anderson localization in optical lattices with correlated disorder
• Level statistics and eigenfunctions of pseudointegrable systems: dependence on energy and genus number
• Real-space renormalization-group approach to the integer quantum Hall effect