Dan Shechtman's discovery of quasicrystals in 1982 introduced the scientific world to
aperiodic crystals with unique rotational symmetries, redefining traditional crystallography …

We study a possible superconductivity in quasiperiodic systems by portraying the issue
within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical …

We study an antiferromagnetic order in the ground state of the half-filled Hubbard model on
the Penrose lattice and investigate the effects of quasiperiodic lattice structure. In the limit of …

We theoretically study the effect of a magnetic field on quasicrystalline superconductors, by
modeling them as an attractive Hubbard model on a Penrose-tiling structure. We find that at …

We numerically study the physical properties of quasiperiodic superconductors with the aim
of understanding superconductivity in quasicrystals. Considering the attractive Hubbard …

The Kohn-Luttinger mechanism for unconventional superconductivity (SC) driven by weak
repulsive electron-electron interactions on a periodic lattice is generalized to the …

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 …

We study magnetic properties of the half-filled Hubbard model on the two-dimensional
hexagonal golden-mean tiling. We find that the vertex model of the tiling is bipartite, with a …

Using the attractive Hubbard model as an example, we theoretically investigate the gap
function, superfluid density, and superconductivity (SC) transition temperature on the …

We study the extended Anderson model on the two-dimensional Penrose lattice, combining
the real-space dynamical mean-field theory with the noncrossing approximation. It is found …