Nematic superconductivity and its critical vestigial phases in the quasicrystal

YB Liu, J Zhou, F Yang - Physical Review Letters, 2024 - APS
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 …

Superconducting Quasicrystals

N Takemori - Israel Journal of Chemistry, 2024 - Wiley Online Library
Dan Shechtman's discovery of quasicrystals in 1982 introduced the scientific world to
aperiodic crystals with unique rotational symmetries, redefining traditional crystallography …

Josephson effect in a Fibonacci quasicrystal

A Sandberg, OA Awoga, AM Black-Schaffer, P Holmvall - Physical Review B, 2024 - APS
Quasiperiodicity has recently been proposed to enhance superconductivity and its proximity
effect. Simultaneously, there has been significant experimental progress in the fabrication of …

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 …

Quasiperiodic pairing in graphene quasicrystals

R Ghadimi, BJ Yang - arXiv preprint arXiv:2408.05714, 2024 - arxiv.org
We investigate the superconducting phase diagram of twisted bilayer graphene
quasicrystals (TBGQC) obtained by stacking two monolayer graphene sheets with a …

Efficient momentum space approach to superconductivity in quasiperiodic systems

M Yoshii, S Kitamura, T Morimoto - arXiv preprint arXiv:2312.09124, 2023 - arxiv.org
We construct an efficient momentum space approach to the superconductivity in
quasiperiodic multilayer systems. To this end, we extend the Brillouin zone (BZ) folding …

Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals

M Hori, R Okugawa, K Tanaka, T Tohyama - arXiv preprint arXiv …, 2024 - arxiv.org
Weyl superconductivity is a topological phase in three-dimensional crystals in which the
Weyl equation describes quasiparticle excitation near band-touching points in momentum …

Properties of the Ammann-Beenker tiling and its square approximants

A Jagannathan, M Duneau - arXiv preprint arXiv:2308.07701, 2023 - arxiv.org
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 …

Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants

A Jagannathan, M Duneau - Israel Journal of Chemistry - Wiley Online Library
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 …