Energy level statistics in disordered metals with an Anderson transition

Journal Article · Sun Dec 01 04:00:00 EST 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02199355· OSTI ID:539375

Evangelou, S N ^[1]; Katsanos, D E ^[1]

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1. Univ. of Ioannina (Greece)

We present numerical scaling results for the energy level statistics in orthogonal and symplectic tight-binding Hamiltonian random matrix ensembles defined on disordered two and three-dimensional electronic systems with and without spin-orbit coupling (SOC), respectively. In the metallic phase for weak disorder the nearest level spacing distribution function P(S), the number variance <({delta}N){sup 2}>, and the two-point correlation function K{sub 2}({epsilon}) are shown to be described by the Gaussian random matrix theories. In the insulating phase, for strong disorder, the correlations vanish for large scales and the ordinary Poisson statistics is asymptotically recovered, which is consistent with localization of the corresponding eigenstates. At the Anderson metal-insulator transition we obtain new universal scale-invariant distribution functions describing the critical spectral density fluctuations.

• OSTI ID: 539375
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 5-6 Vol. 85; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
CORRELATION FUNCTIONS
DISTRIBUTION FUNCTIONS
ENERGY LEVELS
HAMILTONIANS
L-S COUPLING
METALS
STATISTICS