Proximity effect in a superconductor-quasicrystal hybrid ring

Gautam Rai; Stephan Haas; Anuradha Jagannathan

doi:10.1103/PhysRevB.100.165121

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Proximity effect in a superconductor-quasicrystal hybrid ring

Gautam Rai, Stephan Haas, Anuradha Jagannathan

DOI 10.1103/PhysRevB.100.165121 · Physical Review B

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Abstract

We compute the real-space profile of the superconducting order parameter (OP) in a hybrid ring that consists of a one-dimensional superconductor connected to a Fibonacci chain using a self-consistent approach. In our paper, the strength of the penetration as measured by the order parameter at the center of the quasicrystal depends on the structural parameter ϕ or phason angle that characterizes different realizations of the Fibonacci chains of a given length. We show that the penetration strength dependence on ϕ 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 superconductor-normal 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 larger than in a normal periodic conductor for special values of ϕ.