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 …

The quasicrystal (QC) possesses a unique lattice structure with rotational symmetry
forbidden in periodic crystals. The electric property is far from complete understanding. It has …

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 …

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 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 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 …

Our understanding of physical properties of quasicrystals owes a great deal to studies of
tight‐binding models constructed on quasiperiodic tilings. Among the large number of …

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

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry
using cold atoms. One can obtain a series of such optical tilings, related by scale …