The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of
aperiodic tilings. However, the physics of particles propagating in such a setting remains …

Aperiodic crystals constitute a class of materials that includes incommensurate (IC)
modulated structures and quasicrystals (QCs). Although these two categories share a …

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 …

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

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

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 propose realization of non-Abelian topological superconductivity in two-dimensional
quasicrystals by the same mechanism as in crystalline counterparts. Specifically, we study a …

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