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arXiv 1312.0367cond-mat.supr-con
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d波超导超薄膜中无序驱动的超导体-绝缘体转变

Disorder-Driven Superconductor-Insulator Transition in d-Wave Superconducting Ultrathin Films

Long He, Jian Sun, Yun Song

摘要:

研究了$d$波超导薄膜的超导体-绝缘体转变。利用核多项式方法,自洽地求解了具有最多$360\times 360$晶胞的正方形晶格的Bogoliubov-de Gennes方程,从而可以全面地观察超导序参量的纳米尺度空间涨落,并通过广义逆参与比的晶格尺度标度精确地区分定域准粒子态和扩展准粒子态.结果表明,安德森局域化不能完全抑制强无序$d$波超导体中局域超导电性的发生。被绝缘的“海”完全隔开,一些局部超导序参量显著增强的孤立的超导“岛”可以在SIT中存活。因此,无序驱动的SIT是从$d$波超导体到由局域库珀对组成的玻色绝缘体的转变。与$s$波超导体不同,$s$波超导体在SIT上呈现出稳健的单粒子能隙,$d$波超导体的光学电导率揭示了无能隙绝缘相,其中SIT可以通过观察Drude重量随着无序度的增加而消失来检测。

英文摘要:

We study the superconductor-insulator transition (SIT) in $d$-wave superconducting ultrathin films. By means of the kernel polynomial method, the Bogoliubov-de Gennes equations are solved for square lattices with up to $360\times 360$ unit cells self-consistently, making it possible to observe fully the nanoscale spatial fluctuations of the superconducting order parameters and discriminate accurately the localized quasiparticle states from the extended ones by the lattice-size scaling of the generalized inverse participation ratio. It is shown that Anderson localization can not entirely inhibit the occurrence of the local superconductivity in strongly-disordered $d$-wave superconductors. Separated by an insulating 'sea' completely, a few isolated superconducting 'islands' with significant enhancement of the local superconducting order parameters can survive across the SIT. The disorder-driven SIT, therefore, is a transition from a $d$-wave superconductor to a Bose insulator which consists of localized Cooper pairs. Unlike an $s$-wave superconductor which presents a robust single-particle gap across the SIT, the optical conductivity of a $d$-wave superconductor reveals a gapless insulating phase, where the SIT can be detected by observing the disappearance of the Drude weight with the increasing disorder.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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