Valence Fluctuations and Electric Reconstruction in the Extended Anderson Model on the Two-Dimensional Penrose Lattice

Abstract

We study the extended Anderson model on the two-dimensional Penrose lattice, combining the real-space dynamical mean-field theory with the non-crossing approximation. It is found that the Coulomb repulsion between localized and conduction electrons does not induce a valence transition, but the crossover between the Kondo and mixed valence states in contrast to the conventional periodic system. In the mixed-valence region close to the crossover, nontrivial valence distributions appear characteristic of the Penrose lattice, demonstrating that the mixed-valence state coexists with local Kondo states in certain sites. The electric reconstruction in the mixed valence region is also addressed.

6pages, 7 figures. Submitted

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• Distributed Hybridization Model for Quantum Critical Behavior in Magnetic 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
• Emergence of quasiperiodic Bloch wave functions in quasicrystals
• Antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling
• Qualitative breakdown of the non-crossing approximation for the symmetric one-channel Anderson impurity model at all temperatures
• Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity
• Doped Mott insulator on Penrose tiling
• Unconventional superfluidity of superconductivity on Penrose lattice
• Confined states in the tight-binding model on the hexagonal golden-mean tiling
• Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling
• Quasiperiodicity and valence fluctuation in the spin-1/2 Falicov-Kimball model
• Fragile magnetic order in metallic quasicrystals
• Stripe order in quasicrystals
• Optical response of the tightbinding model on the Fibonacci chain
• Photoinduced Phase Transition in Two-Band model on Penrose Tiling