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

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.

12 pages, 10 figures

References in corpus (9)

• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Localization of preformed Cooper-pairs in disordered superconductors
• Nature of the superconductor-insulator transition in disordered superconductors
• Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition
• Two-dimensional superconductivity at a Mott-Insulator/Band-Insulator interface: LaTiO3/SrTiO3
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Fractal superconductivity near localization threshold
• Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
• Superconductor-Insulator transition and energy localization

Cited by in corpus (34)

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• Phase separation from electron confinement at oxide interfaces
• Multi-band superconductivity and nanoscale inhomogeneity at oxide interfaces
• Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO${}_3$
• Effective 2D thickness for the Berezinskii-Kosterlitz-Thouless-like transition in a highly underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Non-linear $IV$ characteristics in two-dimensional superconductors: Berezinskii-Kosterlitz-Thouless physics vs inhomogeneity
• Evidence of weak superconductivity at the room-temperature grown LaAlO${}_3$/SrTiO${}_3$ interface
• Phase diagrams of voltage-gated oxide interfaces with strong Rashba coupling
• Percolative nature of the dc paraconductivity in the cuprate superconductors
• Substrate mediated nitridation of niobium into superconducting Nb2N thin films for phase slip study
• Negative electronic compressibility and nanoscale inhomogeneity in ionic-liquid gated two-dimensional superconductors
• Inhomogeneous multi-carrier superconductivity at LaXO3/SrTiO3 (X=Al or Ti) oxide interfaces
• Pseudo-gap in tunneling spectra as a signature of inhomogeneous superconductivity in oxide interfaces
• BKT universality class in the presence of correlated disorder
• Correlation between Superconductivity, Band Filling and Electron Confinement at the LaAlO${}_3$-SrTiO${}_3$ Interface
• Dissipative phases across the superconductor-to-insulator transition
• Non-universal current flow near the metal-insulator transition in an oxide interface
• Charge-Density Waves vs. Superconductivity: Some Results and Future Perspectives
• Gate-tunable superconductivity at SrTiO3 surface realized by Al layer evaporation
• Evidence of the disorder-independent electron-phonon scattering time in thin NbN films
• Possible mechanisms of electronic phase separation in oxide interfaces
• Density inhomogeneities and Rashba spin-orbit coupling interplay in oxide interfaces
• Ionic liquid gating of SrTiO${}_3$ lamellas fabricated with a focused ion beam
• Phase separation and long wave-length charge instabilities in spin-orbit coupled systems
• Natural width of the superconducting transition in epitaxial TiN films
• Inhomogeneous superconductivity and quasilinear magnetoresistance at amorphous LaTiO3/SrTiO3 interfaces
• Interplay between density and superconducting quantum critical fluctuations
• Slow electron-phonon relaxation controls the dynamics of the superconducting resistive transition
• On the dilemma between percolation processes and fluctuating pairs as the origin of the enhanced conductivity above the superconducting transition in cuprates
• Calculations of some doping nanostructurations and patterns improving the functionality of high-temperature superconductors for bolometer device applications
• A scenario for the critical fluctuations near the transition of few-bilayer films of high-temperature cuprate superconductors
• Superfluid response of two-dimensional filamentary superconductors