Enhanced, phase coherent, multifractal-like, two-dimensional superconductivity

Abstract

We study the interplay of superconductivity and disorder by solving numerically the Bogoliubov-de-Gennes equations in a two dimensional lattice of size $80\times 80$ which makes possible to investigate the weak-coupling limit. In contrast with results in the strong coupling region, we observe enhancement of superconductivity and intriguing multifractal-like features such as a broad log-normal spatial distribution of the order parameter, a parabolic singularity spectrum, and level statistics consistent with those of a disordered metal at the Anderson transition. The calculation of the superfluid density, including small phase fluctuations, reveals that, despite this intricate spatial structure, phase coherence still holds for sufficiently weak disorder. It only breaks down for stronger disorder but before the insulating transition takes place.

arXiv comment24 pages, 10 figures, added references, corrected typos

References in corpus (35)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Anderson Transitions
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Highly crystalline 2D superconductors
• Enhanced superconductivity in atomically thin TaS2
• Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
• Gate-induced superconductivity in a monolayer topological insulator
• Nature of the superconductor-insulator transition in disordered superconductors
• Inhomogeneous Pairing in Highly Disordered s-wave Superconductors
• Nature of the Quantum Metal in a Two-Dimensional Crystalline Superconductor
• Metallic ground state in an ion-gated two-dimensional superconductor
• Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Fractal superconductivity near localization threshold
• Remarkable effects of disorder on superconductivity of single atomic layers of lead on silicon
• Approaching Zero-Temperature Metallic States in Mesoscopic Superconductor-Normal-Superconductor Arrays
• Enhancement of superconductivity by Anderson localization
• Disorder induced multifractal superconductivity in monolayer niobium dichalcogenides
• Anderson transition in three-dimensional systems with non-Hermitian disorder
• Shaping a superconducting dome: Enhanced Cooper-pairing versus suppressed phase coherence in coupled aluminum nanograins
• Magnetically Induced Metallic Phase in Superconducting Tantalum Films
• Superconducting, Insulating, and Anomalous Metallic Regimes in a Gated Two-Dimensional Semiconductor-Superconductor Array
• Universal scaling of the order-parameter distribution in strongly disordered superconductors
• Enhancing Superconductivity by Disorder
• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Critical statistics in a power-law random banded matrix ensemble
• Electronically driven superconductor insulator transition in electrostatically doped La${}_2$CuO${}_{4+\delta }$ thin films
• Optical excitation of phase modes in strongly disordered superconductors
• Global critical temperature in inhomogeneous superconductors induced by multifractality
• Optical signatures of the superconducting Goldstone mode in granular aluminum: experiments and theory
• Strong enhancement of bulk superconductivity by engineered nanogranularity
• Anderson transition in a three dimensional kicked rotor
• Stability of the superfluid state in a disordered 1D ultracold fermionic gas
• Multifractality and intermediate statistics in quantum maps
• Emergent granularity and pseudogap near the superconductor-insulator transition

Cited by in corpus (18)

• Superconductivity at the three-dimensional Anderson metal-insulator transition
• Tuning Superinductors by Quantum Coherence Effects for Enhancing Quantum Computing
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Quasidisorder Induced Topology
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
• Characterization of collective excitations in weakly-coupled disordered superconductors
• Multifractally-enhanced superconductivity in two-dimensional systems with spin-orbit coupling
• Interplay of superconductivity and localization near a 2D ferromagnetic quantum critical point
• Superconductivity in a disordered metal with Coulomb interactions
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
• Generalized surface multifractality in 2D disordered systems
• Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Quantum Fluctuations and Multifractally-Enhanced Superconductivity in Disordered Thin Films
• Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors
• Exploring the vortex phase diagram of Bogoliubov-de Gennes disordered superconductors
• Multifractal correlations of the local density of states in dirty superconducting films