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中国物理学会期刊

超小金属微粒超导电性的能级统计

CSTR: 32037.14.aps.49.969

LEVEL STATISTICS IN SUPERCONDUCTIVITY IN ULTRASMALL METALLIC GRAINS

CSTR: 32037.14.aps.49.969
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  • 用平均场理论的自洽方程计算了随机矩阵理论中三种系综(Gauss Orthogonal Ensemble;Gauss Unitary Ensemble;Gauss Symplectic Ensemble)所对应的电子能级的奇/偶电子数分布对临界电子能级间距的影响,得到了在不同的自旋-轨道耦合和磁场中奇/偶电子数分布的临界电子能级间距的定量关系以及奇电子数的Δ((0)随平均能间距o>的变化.

     

    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.

     

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