Antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling
arXiv:2011.06160 · doi:10.2320/matertrans.MT-MB2020003
Abstract
We investigate the antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling. When the interaction is introduced, the staggered magnetizations suddenly appear, which results from the existence of the macroscopically degenerate states in the tightbinding model. The increase of the interaction strength monotonically increases the magnetizations although its magnitude depends on the local environments. Magnetization profile is discussed in the perpendicular space. The similarity and difference are also addressed in magnetic properties in the Hubbard model on the Penrose, Ammann-Beenker, and Socolar dodecagonal tilings.
arXiv comment8pages, 10figures
References in corpus (16)
- Quantum critical state in a magnetic quasicrystal
- Quantum Antiferromagnetism in Quasicrystals
- Icosahedral quasicrystal and 1/1 cubic approximant in Au-Al-Yb alloys
- Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
- Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
- Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
- Penrose Quantum Antiferromagnet
- Exotic pairing state in quasicrystalline superconductors under magnetic field
- Robustness of Quantum Criticality of Valence Fluctuations
- 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
- Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice
- Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling
- Distributed Hybridization Model for Quantum Critical Behavior in Magnetic Quasicrystals
- Excitonic condensation reflecting electronic states in two-band Penrose-Hubbard model
- Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity
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- Hyperuniformity in two-dimensional periodic and quasiperiodic point patterns
- Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
- Ferromagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
- Confined states in the tight-binding model on the hexagonal golden-mean tiling
- Gapless superconductivity and its real-space topology in quasicrystals
- Modulated honeycomb lattices and their magnetic properties
- Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism