Quantum level statistics useful for mesoscopic physics

H. Hasegawa; J. Z. Ma; T. Takami

doi:10.1142/S0218625X9600005X

Quantum level statistics useful for mesoscopic physics

H. Hasegawa, J. Z. Ma, T. Takami

Genetics

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Abstract

We report on two results from our computational studies in quantum level statistics as a contribution to mesoscopic physics: (i) parametric motion of complex quantum levels and its dynamic treatment of second-derivative distribution for neighboring pairs (the so-called curvature distribution); (ii) intermediate statistics for long-range level correlation which exhibits a fractional power law, i.e., another manifestation of the fractional-power dependence like S^β (0 < β < 1) familiar to Brody's distribution, in the number variance and the Δ-statistics of Dyson-Mehta.

Original language	English (US)
Pages (from-to)	13-17
Number of pages	5
Journal	Surface Review and Letters
Volume	3
Issue number	1
DOIs	https://doi.org/10.1142/S0218625X9600005X
State	Published - Feb 1996

ASJC Scopus subject areas

Condensed Matter Physics
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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AB - We report on two results from our computational studies in quantum level statistics as a contribution to mesoscopic physics: (i) parametric motion of complex quantum levels and its dynamic treatment of second-derivative distribution for neighboring pairs (the so-called curvature distribution); (ii) intermediate statistics for long-range level correlation which exhibits a fractional power law, i.e., another manifestation of the fractional-power dependence like Sβ (0 < β < 1) familiar to Brody's distribution, in the number variance and the Δ-statistics of Dyson-Mehta.

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Quantum level statistics useful for mesoscopic physics

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