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.

5 pages, 6 figures

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Cited by in corpus (42)

• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
• Conventional superconductivity in quasicrystals
• Physical properties of weak-coupling quasiperiodic superconductors
• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
• Superconductivity in a van der Waals layered quasicrystal
• Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd
• Quantum phase transition between hyperuniform density distributions
• Nature of Protected Zero Energy States in Penrose Quasicrystals
• Intrinsic vortex pinning in superconducting quasicrystals
• Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Hyperuniform electron distributions controlled by electron interactions in quasicrystal
• Josephson effect in a Fibonacci quasicrystal
• Anomalous upper critical field in the quasicrystal superconductor Ta${}_{1.6}$Te
• Antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Topological superconductivity in Fibonacci quasicrystals
• Quasiperiodic pairing in graphene quasicrystals
• Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
• 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
• Unconventional superfluidity of superconductivity on Penrose lattice
• Electronic States of Al-Mg-Zn Quasicrystal and Its Approximant based on the First-Principles Calculations
• Hyperuniform properties of the square-triangle tilings
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling
• Confined states in the tight-binding model on the hexagonal golden-mean tiling
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Quasiperiodicity and valence fluctuation in the spin-1/2 Falicov-Kimball model
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Higher-dimensional Fermiology in bulk moiré metals
• 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
• Fragile magnetic order in metallic quasicrystals
• Stripe order in quasicrystals
• Superconducting Properties on Two-dimensional Quasicrystal (Ta${}_{0.95}$Cu${}_{0.05}$)${}_{1.6}$Te Studied with ${}^{125}$Te-NMR
• Site-selective correlations in interacting "flat-band" quasicrystals
• First-principles evidence for conventional superconductivity in a quasicrystal approximant
• Superconducting order parameter in aperiodic binary systems