Effect of Electron-Electron Interactions on Metallic State in Quasicrystals

Abstract

We theoretically study the effect of electron-electron interactions on the metallic state of quasicrystals. To address the problem, we introduce the extended Hubbard model on the Ammann-Beenker tiling as a simple theoretical model. The model is numerically solved within an inhomogeneous mean-field theory. Because of the lack of periodicity, the metallic state is nonuniform in the electron density even in the noninteracting limit. We clarify how this charge distribution pattern changes with electron-electron interactions. We find that the intersite interactions change the distribution substantially and in an electron-hole asymmetric way. We clarify the origin of these changes through the analyses in the real and perpendicular spaces. Our results offer a fundamental basis to understand the electronic states in quasicrystalline metals.

9 pages, 5 figures

References in corpus (8)

• The Kernel Polynomial Method
• Imaging Quasi-Periodic Electronic States in a Synthetic Penrose Tiling
• Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
• 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
• Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice

Cited by in corpus (16)

• Quantum phase transition between hyperuniform density distributions
• Electronic instabilities in Penrose quasi-crystals: competition, coexistence and collaboration of order
• Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
• Hyperuniform electron distributions controlled by electron interactions in quasicrystal
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
• Doped Mott insulator on Penrose tiling
• Hyperuniformity in two-dimensional periodic and quasiperiodic point patterns
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Hyperuniform properties of the square-triangle tilings
• Non-Collinear and Non-Coplanar Magnetic Orders in 1/1 Periodic Approximant to the Icosahedral Quasicrystal
• Magnetism and topological property in icosahedral quasicrystal
• Optical response of the tightbinding model on the Fibonacci chain
• Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal