Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models

Abstract

We study the interplay of superconductivity and a wide spectrum of critical (multifractal) wave functions ("spectrum-wide quantum criticality," SWQC) in the one-dimensional Aubry-André and power-law random-banded matrix models with attractive interactions, using self-consistent BCS theory. We find that SWQC survives the incorporation of attractive interactions at the Anderson localization transition, while the pairing amplitude is maximized near this transition in both models. Our results suggest that SWQC, recently discovered in two-dimensional topological surface-state and nodal superconductor models, can robustly enhance superconductivity.

8+9 pages, 4+13 figures; v2: added superfluid stiffness results

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Cited by in corpus (14)

• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Josephson effect in a Fibonacci quasicrystal
• Topological superconductivity in Fibonacci quasicrystals
• Quasidisorder Induced Topology
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Interplay of superconductivity and localization near a 2D ferromagnetic quantum critical point
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Magnetic instability and spin-glass order beyond the Anderson-Mott transition in interacting power-law random banded matrix fermions