Doped Mott insulator on Penrose tiling

Abstract

We study the effect of carrier doping to the Mott insulator on the Penrose tiling, aiming at clarifying the interplay between quasiperiodicity and strong electron correlations. We numerically solve the Hubbard model on the Penrose-tiling structure within a real-space dynamical mean-field theory, which can deal with a singular self-energy necessary to describe the Mott insulator and spatial inhomogeneity. We find that the strong correlation effect produces a charge distribution unreachable by a static mean-field approximation. In a small doping region, the spectrum shows a site-dependent gap just above the Fermi energy, which is generated by a singularly large self-energy emergent from the Mott physics and regarded as a real-space counterpart of the momentum-dependent pseudogap observed in a square-lattice Hubbard model.

6 pages, 8 figures

References in corpus (24)

• The Kernel Polynomial Method
• Quantum critical state in a magnetic quasicrystal
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• 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
• Noncollinear magnetic order in quasicrystals
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Physical properties of weak-coupling quasiperiodic superconductors
• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
• Valence Fluctuations and Electric Reconstruction in the Extended Anderson Model on the Two-Dimensional Penrose Lattice
• Supersolid state of ultracold fermions in an optical lattice
• Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice
• Topological magnetic textures and long-range orders in Tb-based quasicrystal and approximant
• Distributed Hybridization Model for Quantum Critical Behavior in Magnetic Quasicrystals
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Electronic instabilities in Penrose quasi-crystals: competition, coexistence and collaboration of order
• Hyperuniform electron distributions controlled by electron interactions in quasicrystal
• Effect of Electron-Electron Interactions on Metallic State in Quasicrystals
• Electronic state of a doped Mott-Hubbard insulator at finite temperatures studied using the dynamical mean-field theory
• Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity

Cited by in corpus (5)

• Quantum phase transition between hyperuniform density distributions
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Unconventional superfluidity of superconductivity on Penrose lattice
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Site-selective correlations in interacting "flat-band" quasicrystals