Enhanced Superconductivity in Quasi-periodic Crystals

Abstract

We study superconductivity in a family of one dimensional incommensurate system with $s$-wave pairing interaction. The incommensurate potential can alter the spatial characteristics of electrons in the normal state, leading to either extended, critical, or localized wave functions. We find that superconductivity is significantly enhanced when the electronic wave function exhibits a critical multifractal structure. This criticality also manifests itself in the power-law dependence of superconducting temperature on the pairing strength. As a consequence, an extended superconducting domain is expected to exist around the localization-delocalization transition, which can be induced by either tuning the amplitude of the incommensurate potential, or by varying the chemical potential across a mobility edge. Our results thus suggest a novel approach to enhance superconducting transition temperature through engineering of incommensurate potential.

14 pages and 14 figures

References in corpus (4)

• Continuum Model of the Twisted Bilayer
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Quantum critical state in a magnetic quasicrystal
• Anderson localization transitions with and without random potentials

Cited by in corpus (13)

• Josephson effect in a Fibonacci quasicrystal
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Topological superconductivity in Fibonacci quasicrystals
• Quasidisorder Induced Topology
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Quasiperiodic pairing in graphene quasicrystals
• Doped Mott insulator on Penrose tiling
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
• Superconducting order parameter in aperiodic binary systems