The electron states in the quasicrystal (QC) are hot topics recently. While previous attentions
were focused on such intrinsic QCs as the Penrose lattice, the recent “twistronics” provides …

Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg
quasicrystal, we study the low-temperature behavior of electrons moving in the …

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 investigate the superconducting instabilities of twisted bilayer graphene quasicrystals
(TBGQCs) obtained by stacking two monolayer graphene sheets with 30° relative twisting …

We develop an exactly solvable model with Kitaev-type interactions and study its phase
diagram on the dual lattice of the quasicrystalline Ammann-Beenker lattice. Our construction …

We propose a general mechanism to realize nematic superconductivity (SC) and reveal its
exotic vestigial phases in the quasicrystal (QC). Starting from a Penrose-Hubbard model, our …

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 …

Abstract Magnetism of Tsai-type 1/1 approximants has been extensively investigated for the
last decade. The experimental results on Tsai-type approximants are reviewed and the …

We study an electron distribution under a quasiperiodic potential in light of hyperuniformity,
aiming to establish a classification and analysis method for aperiodic but orderly density …

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 …