Strongly interacting bosons in a two-dimensional quasicrystal lattice

R Gautier, H Yao, L Sanchez-Palencia - Physical Review Letters, 2021 - APS
Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range
ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves …

Hubbard models for quasicrystalline potentials

E Gottlob, U Schneider - Physical Review B, 2023 - APS
Quasicrystals are long-range ordered, yet not periodic, and thereby present a fascinating
challenge for condensed matter physics, as one cannot resort to the usual toolbox based on …

Quasiperiodic pairing in graphene quasicrystals

R Ghadimi, BJ Yang - Nano Letters, 2024 - ACS Publications
We investigate the superconducting instabilities of twisted bilayer graphene quasicrystals
(TBGQCs) obtained by stacking two monolayer graphene sheets with 30° relative twisting …

Topological superconductivity in quasicrystals

R Ghadimi, T Sugimoto, K Tanaka, T Tohyama - Physical Review B, 2021 - APS
We propose realization of non-Abelian topological superconductivity in two-dimensional
quasicrystals by the same mechanism as in crystalline counterparts. Specifically, we study a …

Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals

CW Duncan - Physical Review B, 2024 - APS
We study the single-particle properties of two-dimensional quasicrystals where the
underlying geometry of the tight-binding lattice is crystalline but the on-site potential is …

Quasicrystalline Weyl points and dense Fermi-Bragg arcs

A Grossi e Fonseca, T Christensen, JD Joannopoulos… - Physical Review B, 2023 - APS
We introduce a general mechanism for obtaining Weyl points in a stack of two-dimensional
(2D) quasicrystals, which can be extended to any stack of aperiodic layers. We do so by …

Hyperuniform electron distributions controlled by electron interactions in quasicrystals

S Sakai, R Arita, T Ohtsuki - Physical Review B, 2022 - APS
We study how the electron-electron interactions influence the charge distributions in the
metallic state of quasicrystals. As a simple theoretical model, we introduce an extended …

Multifractality and Hyperuniformity in Quasicrystalline Bose–Hubbard Models with and without Disorder

M Hori, T Sugimoto, Y Hashizume… - Journal of the Physical …, 2024 - journals.jps.jp
Clarifying similarities and differences in physical properties between crystalline and
quasicrystalline systems is one of central issues in studying quasicrystals. To contribute to …

Higher-dimensional Hofstadter butterfly on the Penrose lattice

R Ghadimi, T Sugimoto, T Tohyama - Physical Review B, 2022 - APS
It is now possible to use quasicrystals to search for novel topological phenomena enhanced
by their peculiar structure characterized by an irrational number and high-dimensional …

Fragile magnetic order in metallic quasicrystals

RN Araújo, CC Bellinati, EC Andrade - Physical Review B, 2024 - APS
Inspired by recent experimental studies of local magnetic moments interacting with a
metallic quasicrystal, we study the low-temperature fate of spins placed in two-dimensional …