Superfluid response of two-dimensional filamentary superconductors

Abstract

Different classes of low-dimensional superconducting systems exhibit an inhomogeneous filamentary superconducting condensate whose macroscopic coherence still needs to be fully investigated and understood. Here we present a thorough analysis of the superfluid response of a prototypical filamentary superconductor embedded in a {two-dimensional} metallic matrix. By mapping the system into an exactly solvable random impedance network, we show how the dissipative (reactive) response of the system non-trivially depends on both the macroscopic and microscopic characteristics of the metallic (superconducting) fraction. We compare our calculations with resonant-microwave transport measurements performed on LaAlO${}_3$/SrTiO${}_3$ heterostructures over an extended range of temperatures and carrier densities finding that the filamentary character of superconductivity accounts for unusual peculiar features of the experimental data.

arXiv comment22 pages, 7 figures

References in corpus (40)

• Why Some Interfaces Cannot be Sharp
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Controlling many-body states by the electric-field effect in a two-dimensional material
• Metallic and insulating interfaces of amorphous SrTiO3-based oxide heterostructures
• Metallic ground state in an ion-gated two-dimensional superconductor
• A polarity-induced defect mechanism for conductivity and magnetism at polar-nonpolar oxide interfaces
• Locally enhanced conductivity due to the tetragonal domain structure in LaAlO${}_3$/SrTiO${}_3$ heterointerfaces
• Anomalous metals -- failed superconductors
• Low energy spin waves and magnetic interactions in SrFe${}_2$As${}_2$
• Local Electrostatic Imaging of Striped Domain Order in LaAlO3/SrTiO3
• Anisotropic two-dimensional electron gas at SrTiO3(110) protected by its native overlayer
• Emergence of superconductivity in the cuprates via a universal percolation process
• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Phase separation from electron confinement at oxide interfaces
• Intrinsic instability of electronic interfaces with strong Rashba coupling
• Effective medium theory for superconducting layers: A systematic analysis including space correlation effects
• Superfluid stiffness of a KTaO3-based two-dimensional electron gas
• Multi-band superconductivity and nanoscale inhomogeneity at oxide interfaces
• Spin Waves in Striped Phases
• Confinement of superconducting fluctuations due to emergent electronic inhomogeneities
• 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
• Local inhomogeneity and filamentary superconductivity in Pr-doped CaFe${}_2$As${}_2$
• Evidence for filamentary superconductivity nucleated at antiphase domain walls in antiferromagnetic CaFe${}_2$As${}_2$
• Competition between electron pairing and phase coherence in superconducting interfaces
• Phase diagrams of voltage-gated oxide interfaces with strong Rashba coupling
• Percolative nature of the dc paraconductivity in the cuprate superconductors
• Broadening of the Berezinskii-Kosterlitz-Thouless transition by correlated disorder
• Energy-dependent spatial texturing of the charge order in $1T$-Cu${}_x$TiSe${}_2$
• Negative electronic compressibility and nanoscale inhomogeneity in ionic-liquid gated two-dimensional superconductors
• Filamentary superconductivity across the phase diagram of Ba(Fe,Co)${}_2$As${}_2$
• Inhomogeneous multi-carrier superconductivity at LaXO3/SrTiO3 (X=Al or Ti) oxide interfaces
• Slowing down of vortex motion in thin NbN films near the superconductor-insulator transition
• Pseudo-gap in tunneling spectra as a signature of inhomogeneous superconductivity in oxide interfaces
• BKT universality class in the presence of correlated disorder
• Absence of cyclotron resonance in the anomalous metallic phase in InO${}_x$
• Disordered XY model: effective medium theory and beyond
• Doping-dependent competition between superconductivity and polycrystalline charge density waves
• Protected superconductivity at the boundaries of charge-density-wave domains
• On the dilemma between percolation processes and fluctuating pairs as the origin of the enhanced conductivity above the superconducting transition in cuprates