Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity

Abstract

We study valence fluctuations in the extended Anderson model on two-dimensional Penrose lattice, using the real-space dynamical mean-field theory combined with the continuous-time Monte Carlo method. Calculating $f$-electron number, $c$-$f$ spin correlations, and magnetic susceptibility at each site, we find site-dependent formations of the singlet state and valence distribution at low temperatures, which are reflected by the quasiperiodic lattice structure. The bulk magnetic susceptibility is also addressed.

6 pages, 5 figures

References in corpus (16)

• Continuous-time Monte Carlo methods for quantum impurity models
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Signatures of valence fluctuations in CeCu2Si2 under high pressure
• Quantum critical state in a magnetic quasicrystal
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Superconductivity emerging near quantum critical point of valence transition
• Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
• 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
• Metal-Insulator transitions in the periodic Anderson model
• Supersolid state in fermionic optical lattice systems
• Distributed Hybridization Model for Quantum Critical Behavior in Magnetic Quasicrystals
• Superfluid state in the periodic Anderson model with attractive interactions
• Quantum criticality and first-order transitions in the extended periodic Anderson model

Cited by in corpus (7)

• Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
• Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
• 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
• Doped Mott insulator on Penrose tiling
• Quasiperiodicity and valence fluctuation in the spin-1/2 Falicov-Kimball model