Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs

Abstract

We study a possible superconductivity in quasiperiodic systems, by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we find a superconducting phase at low temperatures. Reflecting the nonperiodicity of the Penrose lattice, the superconducting state exhibits an inhomogeneity. According to the type of the inhomogeneity, the superconducting phase is categorized into three different regions which cross over each other. Among them, the weak-coupling region exhibits spatially extended Cooper pairs, which are nevertheless distinct from the conventional pairing of two electrons with opposite momenta.

arXiv comment5 pages, 6 figures

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Cited by in corpus (55)

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• Conventional superconductivity in quasicrystals
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• Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
• Physical properties of weak-coupling quasiperiodic superconductors
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• Topological superconductivity in quasicrystals
• Superconductivity in a van der Waals layered quasicrystal
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• N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
• Quantum phase transition between hyperuniform density distributions
• Nature of Protected Zero Energy States in Penrose Quasicrystals
• Mean-field study of the Bose-Hubbard model in Penrose lattice
• Intrinsic vortex pinning in superconducting quasicrystals
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• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
• Hyperuniform electron distributions controlled by electron interactions in quasicrystal
• Josephson effect in a Fibonacci quasicrystal
• Effect of Electron-Electron Interactions on Metallic State in Quasicrystals
• Anomalous upper critical field in the quasicrystal superconductor Ta${}_{1.6}$Te
• Perpendicular space accounting of localized states in a quasicrystal
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• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Topological superconductivity in Fibonacci quasicrystals
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
• Excitonic condensation reflecting electronic states in two-band Penrose-Hubbard model
• Quasiperiodic pairing in graphene quasicrystals
• Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
• Cooper instability and superconductivity on the Penrose lattice
• Hyperuniformity in two-dimensional periodic and quasiperiodic point patterns
• Doped Mott insulator on Penrose tiling
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
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• Hyperuniform properties of the square-triangle tilings
• Quasiperiodicity and valence fluctuation in the spin-1/2 Falicov-Kimball model
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Higher-dimensional Fermiology in bulk moiré metals
• Photo-induced Dynamics of Quasicrystalline Excitonic Insulator
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Brillouin zone folding method for quasiperiodic superconductivity in multilayer systems: application to electronic structure and optical responses
• Gapless superconductivity and its real-space topology in quasicrystals
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• Stripe order in quasicrystals
• Superconducting order parameter in aperiodic binary systems
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• Superconducting Properties on Two-dimensional Quasicrystal (Ta${}_{0.95}$Cu${}_{0.05}$)${}_{1.6}$Te Studied with ${}^{125}$Te-NMR