The Proximity Effect in a Superconductor-Quasicrystal Hybrid Ring

Abstract

We compute the real-space profile of the superconducting order parameter (OP) in a hybrid ring that consists of a 1D superconductor connected to a Fibonacci chain using a self-consistent approach. In our study, the strength of the penetration, as measured by the order parameter at the center of the quasicrystal, depends on the structural parameter $\varphi$, or phason angle, that characterizes different realizations of the Fibonacci chains of a given length. We show that the penetration strength dependence on $\varphi$ reflects properties of the topological edge states of the Fibonacci chain. We show that the induced superconducting order parameter averaged over all chains has a power law decay as a function of distance from the S-N interface. More interestingly, we show that there are large OP fluctuations for individual chains and that the penetration strength in a finite Fibonacci chain can be significantly $larger$ than in a normal periodic conductor for special values of $\varphi$.

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• Topological superconductivity in Fibonacci quasicrystals
• Bulk topological signatures of a quasicrystal
• Quasiperiodic pairing in graphene quasicrystals
• Topological quantum optical states in quasiperiodic cold atomic chains
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Effects of Disorder in the Fibonacci Quasicrystal
• Stability of quasicrystalline ultracold fermions to dipolar interactions
• Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Spatial BCS-BEC crossover in superconducting p-n junctions
• Superconducting properties of Fibonacci chains with enhanced superconducting pairing at the boundaries
• Induced superconducting pair correlations in a quasicrystal coupled to a BCS superconductor
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• The Josephson effect in Fibonacci superconductors
• Superconducting order parameter in aperiodic binary systems