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arXiv 1504.07097cond-mat.supr-con
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超导-绝缘转变附近薄膜的标度律

Scaling Laws for Thin Films near the Superconducting-to-Insulating Transition

Yong Tao

摘要:

我们提出了一个结合Landau-Ginzburg项和Chern-Simons项的拉格朗日函数来描述无序与超导之间的竞争。为了描述超导薄膜中的正常到超导的转变,我们将Wilson的重整化群方法应用到这个拉格朗日函数中。最后得到了临界温度(T_c)、薄膜厚度(d)、薄膜正常态方块电阻(R_s)和正常态电子数密度(N)之间的标度关系。这样的标度律与最近的实验研究一致[Ivry,Y.等人,Physical Review B 90,214515(2014)]。这一发现对提高相变温度T_c具有潜在的意义。

英文摘要:

We propose a Lagrangian function, which combines Landau-Ginzburg term and Chern-Simons term, for describing the competition between disorder and superconductivity. To describe the normal-to-superconducting transition in the thin superconducting films, we apply Wilson's renormalization group methods into this Lagrangian function. Finally, we obtain a scaling law between critical temperature (T_c), film thickness (d), sheet resistance of the film at the normal state (R_s), and number density of the electrons at the normal state (N). Such a scaling law is in agreement with recent experimental investigations [Ivry, Y. et al, Physical Review B 90, 214515 (2014)]. Our finding may have potential benefits for improving transition temperature T_c.

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