Strongly interacting bosons in a two-dimensional quasicrystal lattice
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 …
ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves …
Hubbard models for quasicrystalline potentials
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 …
challenge for condensed matter physics, as one cannot resort to the usual toolbox based on …
Quasiperiodic pairing in graphene quasicrystals
We investigate the superconducting instabilities of twisted bilayer graphene quasicrystals
(TBGQCs) obtained by stacking two monolayer graphene sheets with 30° relative twisting …
(TBGQCs) obtained by stacking two monolayer graphene sheets with 30° relative twisting …
Topological superconductivity in quasicrystals
We propose realization of non-Abelian topological superconductivity in two-dimensional
quasicrystals by the same mechanism as in crystalline counterparts. Specifically, we study a …
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 …
underlying geometry of the tight-binding lattice is crystalline but the on-site potential is …
Quasicrystalline Weyl points and dense Fermi-Bragg arcs
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 …
(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
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 …
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 …
quasicrystalline systems is one of central issues in studying quasicrystals. To contribute to …
Higher-dimensional Hofstadter butterfly on the Penrose lattice
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 …
by their peculiar structure characterized by an irrational number and high-dimensional …
Fragile magnetic order in metallic quasicrystals
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 …
metallic quasicrystal, we study the low-temperature fate of spins placed in two-dimensional …