Stacking orders in 2D van der Waals (vdW) materials dictate the relative sliding (lateral
displacement) and twisting (rotation) between atomically thin layers. By altering the stacking …

Electronic states in quasicrystals generally preclude a Bloch description, rendering them
fascinating and enigmatic. Owing to their complexity and scarcity, quasicrystals are …

Icosahedral quasicrystals (QCs), which are long-range ordered materials featuring a
symmetry incompatible with translational invariance, have received a revived interest since …

Superconductivity is ubiquitous as evidenced by the observation in many crystals including
carrier-doped oxides and diamond. Amorphous solids are no exception. However, it remains …

Van der Waals layered transition-metal chalcogenides are drawing significant attention
owing to their intriguing physical properties. This group of materials consists of abundant …

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 …

We theoretically study the real-space distribution of the supercurrent that flows under a
uniform vector potential in a two-dimensional quasiperiodic structure. This is done by …

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 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 …