Open AccessLEVEL STATISTICS IN SUPERCONDUCTIVITY IN ULTRASMALL METALLIC GRAINS
Author(s) -
Zhiqian Chen,
Ruisheng Zheng,
Chang Seop Hong,
Yao Chun-Qing
Publication year - 2000
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.49.969
Subject(s) - physics , electron , gauss , superconductivity , random matrix , condensed matter physics , matrix (chemical analysis) , spin (aerodynamics) , quantum mechanics , materials science , eigenvalues and eigenvectors , thermodynamics , composite material
The effect of level statistics on critical level spacings c> of odd/even electrons are calculated by using the mean field self-consistency equation in three different Gauss ensembles (Gauss Orthogonal Ensemble, Gauss Unitary Ensemble, and Gauss Symplectic Ensemble) according to Random Matrix Theory. We obtain the ratios of critical level spacings of even electrons to those of odd electrons in different spin-orbit coupling and magnetic fields quantitatively and the relations of Δ((0) and average level spacings o> in the odd case.