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Open AccessArticle

Superfluid Properties of Superconductors with Disorder at the Nanoscale: A Random Impedance Model

1
Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy
2
Department of Theoretical Physics, The Royal Institute of Technology, SE-10691 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Condens. Matter 2020, 5(2), 36; https://doi.org/10.3390/condmat5020036
Received: 14 April 2020 / Revised: 7 May 2020 / Accepted: 12 May 2020 / Published: 14 May 2020
Some two-dimensional superconductors like, e.g., LaAlO 3 /SrTiO 3 heterostructures or thin films of transition metal dichalcogenides, display peculiar properties that can be understood in terms of electron inhomogeneity at the nanoscale. In this framework, unusual features of the metal-superconductor transition have been interpreted as due to percolative effects within a network of superconducting regions embedded in a metallic matrix. In this work we use a mean-field-like effective medium approach to investigate the superconducting phase below the critical temperature T c at which the resistivity vanishes. Specifically, we consider the finite frequency impedance of the system to extract the dissipative part of the conductance and the superfluid stiffness in the superconducting state. Intriguing effects arise from the metallic character of the embedding matrix: upon decreasing the temperature below T c proximity effects may rapidly increase the superfluid stiffness. Then, a rather fragile superconducting state, living on a filamentary network just below T c , can be substantially consolidated by additional superconducting regions induced by proximity effect in the interstitial metallic regions. This mean-field prediction should call for further theoretical analyses and trigger experimental investigations of the superconducting properties of the above systems. View Full-Text
Keywords: inhomogeneous superconductivity; nanoscale inhomogeneity; percolation; optical response of superconductors; superfluid stiffness inhomogeneous superconductivity; nanoscale inhomogeneity; percolation; optical response of superconductors; superfluid stiffness
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MDPI and ACS Style

Venditti, G.; Maccari, I.; Grilli, M.; Caprara, S. Superfluid Properties of Superconductors with Disorder at the Nanoscale: A Random Impedance Model. Condens. Matter 2020, 5, 36.

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