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Enhancement of superconductivity in the Fibonacci chain

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Title
Enhancement of superconductivity in the Fibonacci chain
Author(s)
Meng Sun; Tilen ČadeŽ; Igor Yurkevich; Alexei Andreanov
Publication Date
2024-04
Journal
Physical Review B, v.109, no.13
Publisher
AMER PHYSICAL SOC
Abstract
We study the interplay between quasiperiodic disorder and superconductivity in a one-dimensional tight-binding model with the quasiperiodic modulation of on-site energies that follow the Fibonacci rule, and all the eigenstates are multifractal. As a signature of multifractality, we observe the power-law dependence of the correlation between different single-particle eigenstates as a function of their energy difference. We numerically compute the mean-field superconducting transition temperature for every realization of a Fibonacci chain of a given size and find the distribution of critical temperatures, analyze their statistics, and estimate the mean value and variance of critical temperatures for various regimes of the attractive coupling strength and quasiperiodic disorder. We find an enhancement of the critical temperature compared to the analytical results that are based on strong assumptions of the absence of correlations and self-averaging of multiple characteristics of the system, which are not justified for the Fibonacci chain. For the very weak coupling regime, we observe a crossover where the self-averaging of the critical temperature breaks down completely and strong sample-to-sample fluctuations emerge. © 2024 American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/15053
DOI
10.1103/PhysRevB.109.134504
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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