2020/05/08 by Akihisa Koga · 2 citations
Materials Science · Physics and Astronomy · #Asymmetry #Condensed matter physics #Coulomb #Electron #Hubbard model #Magnetic properties of thin films #Physics #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Superconductivity #Superlattice #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.102.115125
published as Phys. Rev. B 102, 115125 (2020) · 9pages, 12figures
arxiv created 2020/05/08 · openalex publication_date 2020/09/14 · arxiv updated 2020/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study magnetic properties in the half-filled Hubbard model on the Ammann-Beenker tiling. First, we focus on the domain structure with locally eightfold rotational symmetry to examine the strictly localized confined states for the tight-binding model. We count the number of vertices and confined states in the larger domains generated by the deflation operations systematically. Then, the fraction of the confined states, which plays an important role for magnetic properties in the weak coupling limit, is obtained as p=1/2\ensuremathτ2, where \ensuremathτ(=1+√(2)) is the silver ratio. It is also found that the wave functions for confined states are densely distributed in the system and thereby the introduction of the Coulomb interactions immediately induces the finite staggered magnetizations. Increasing the Coulomb interactions, the spatial distribution of the magnetizations continuously changes to those of the Heisenberg model. We discuss crossover behavior in the perpendicular space representation and reveal the superlattice structure in the spatial distribution of the staggered magnetizations.