金属小粒子超导电性研究

Superconductivity of Different Spin-States in Ultrasmall Metallic Grains

用统计系综理论对遵从高斯正交系综的所有金属小粒子的不同自旋态SZ =0 ,1/ 2 ,1,3/ 2 ,2 ,5 / 2…进行了研究 .发现以上各态均存在临界能间距dc/△ (0 ) =13 .81,1.85 ,0 .81,0 .5 0 ,0 .36 ,0 .2 8… .随着粒子尺寸的减小 ,其超导电性终究会消失 ;金属小粒子的自旋态越高 ,临界能间距dc 越小 .对自旋SZ =0的态 ,确实存在超导增强效应 .

We study the different spin-states of S z=0, 1/2,1,3/2,2,5/2,…of different ultrasmall metallic grains which observe the rules in Gauss orthogonal ensemble by the theory of statistic ensembles, and find there exist critical level spacings d c/△(0)=13.81,1.85,0.81,0.50,0.36,0.28,…,at which the superconductivity would vanish. We also find that the higher the spin-state, the smaller the critical level spacing, and for the state of S z=0 there actually exists the superconducting enhancement.