Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
arXiv:1608.07210 · doi:10.1103/PhysRevB.95.024509
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 (13)
- 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
- 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
- Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
- Antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling
- Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
- Hyperuniform properties of the square-triangle tilings
- Electronic States of Al-Mg-Zn Quasicrystal and Its Approximant based on the First-Principles Calculations
- Quasiperiodicity and valence fluctuation in the spin-1/2 Falicov-Kimball model