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Multifractally-enhanced superconductivity in thin films

Burmistrov, I. S.; Gornyi, I. V.; Mirlin, A. D.

Abstract (englisch):
The multifractal superconducting state originates from the interplay of Anderson localization and interaction effects. In this article we overview the recent theory of the superconductivity enhancement by multifractality and extend it to describe the spectral properties of superconductors on the scales of the order of the superconducting gap. Specifically, using the approach based on renormalization group within the nonlinear sigma model, we develop the theory of a multifractal superconducting state in thin films. We derive a modified Usadel equation that incorporates the interplay of disorder and interactions at energy scales larger than the spectral gap and study the effect of such an interplay on the low-energy physics. We determine the spectral gap at zero temperature which occurs to be proportional to the multifractally enhanced superconducting transition temperature. The modified Usadel equation results in the disorder-averaged density of states that, near the spectral gap, resembles the one obtained in the model of a spatially random superconducting order parameter. We reveal strong mesoscopic fluctuations of the local density of states in the superconducting state. ... mehr


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Originalveröffentlichung
DOI: 10.1016/j.aop.2021.168499
Scopus
Zitationen: 2
Dimensions
Zitationen: 3
Zugehörige Institution(en) am KIT Institut für Quantenmaterialien und -technologien (IQMT)
Institut für Theorie der Kondensierten Materie (TKM)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 12.2021
Sprache Englisch
Identifikator ISSN: 0003-4916
KITopen-ID: 1000133722
HGF-Programm 47.11.03 (POF IV, LK 01) Quantum Nanoscience
Erschienen in Annals of physics
Verlag Elsevier
Band 435
Heft 1
Seiten Art.Nr. 168499
Vorab online veröffentlicht am 07.05.2021
Schlagwörter Anderson localization, multifractality, superconductivity
Nachgewiesen in Dimensions
Scopus
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