Superconductivity at the three-dimensional Anderson metal-insulator transition

被引:20
作者
Fan, Bo [1 ]
Garcia-Garcia, Antonio M. [1 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Phys & Astron, Shanghai Ctr Complex Phys, Shanghai 200240, Peoples R China
基金
国家重点研发计划;
关键词
INVERSE PARTICIPATION RATIO; LOCALIZATION; FLUCTUATIONS; STATISTICS;
D O I
10.1103/PhysRevB.102.184507
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study a disordered weakly coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three-dimensional lattice of size up to 20 x 20 x 20 in the presence of a random potential. The spatial average of the order parameter is moderately enhanced as disorder approaches the transition but decreases sharply in the insulating region. The spatial distribution of the order parameter is sensitive to the disorder strength: for intermediate disorders below the transition, we already observe a highly asymmetric distribution with an exponential tail. Around the transition, it is well described by a log-normal distribution and a parabolic singularity spectrum. These features are typical of a multifractal measure. We determine quantitatively the critical disorder at which the insulator transition occurs by an analysis of level statistics in the spectral region that contributes to the formation of the order parameter. Interestingly, spectral correlations at the transition are similar to those found in noninteracting disordered systems at the Anderson transition. A percolation analysis suggests that the loss of phase coherence may occur around the critical disorder.
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页数:14
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