Effective medium theory for superconducting layers: A systematic analysis including space correlation effects

S. Caprara, M. Grilli, L. Benfatto, and C. Castellani
Phys. Rev. B 84, 014514 – Published 26 July 2011

Abstract

We investigate the effects of mesoscopic inhomogeneities on the metal-superconductor transition occurring in several two-dimensional electron systems. Specifically, as a model of systems with mesoscopic inhomogeneities, we consider a random-resistor network, which we solve both with an exact numerical approach and by the effective medium theory. We find that the width of the transition in these two-dimensional superconductors is mainly ruled by disorder rather than by fluctuations. We also find that “tail” features in resistivity curves of interfaces between LaAlO3 or LaTiO3 and SrTiO3 can arise from a bimodal distribution of mesoscopic local Tc’s and/or substantial space correlations between the mesoscopic domains.

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  • Received 18 April 2011

DOI:https://doi.org/10.1103/PhysRevB.84.014514

©2011 American Physical Society

Authors & Affiliations

S. Caprara1, M. Grilli1, L. Benfatto1,2, and C. Castellani1

  • 1Dipartimento di Fisica Università di Roma “La Sapienza,” piazzale Aldo Moro 5, I-00185 Roma, Italy
  • 2Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via dei Taurini, I-00185 Roma, Italy

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Vol. 84, Iss. 1 — 1 July 2011

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