Excitonic condensation reflecting electronic states in two-band Penrose-Hubbard model

Abstract

We study the excitonic insulating (EI) phase in the two-band Hubbard models on the Penrose tiling. Performing the real-space mean-field calculations systematically, we obtain the ground state phase diagrams for the vertex and center models. We find that, in some regimes, the stable EI phase is induced by small interband interactions. We argue that this originates from the electron-hole pairing for the completely or nearly degenerate states, which are characteristic of the Penrose tiling. We also study spatial distribution of the order parameter, mapping it to the perpendicular space.

arXiv comment9 pages

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Cited by in corpus (11)

• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
• 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
• Antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling
• Excitonic insulator phase and dynamics of condensate in a topological one-dimensional model
• Hyperuniformity in two-dimensional periodic and quasiperiodic point patterns
• Doped Mott insulator on Penrose tiling
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Photo-induced Dynamics of Quasicrystalline Excitonic Insulator
• Photoinduced Phase Transition in Two-Band model on Penrose Tiling