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

Abstract

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.

9 pages, 1 table

References in corpus (4)

• Axion topological field theory of topological superconductors
• Universal scaling of the critical temperature for thin films near the superconducting-to-insulating transition
• Spin Hall effect associated with SU(2) gauge field
• Dirac Branes and Anomalies/Chern-Simons terms in any D

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• Relativistic Ginzburg-Landau equation: An investigation for overdoped cuprate films
• Parabolic Scaling in Overdoped Cuprate Films
• Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach
• Spatial Chern-Simons Interactions and Complex Magnetic Penetration Depth
• Cooper pairs or Individual electrons? Based on the magnetic flux quantization and the Tc scaling law of superconducting thin films