%0 Journal Article
%A Hauck, J. B.
%A Honerkamp, C.
%A Achilles, Sebastian
%A Kennes, D. M.
%T Electronic instabilities in Penrose quasicrystals: Competition, coexistence, and collaboration of order
%J Physical review research
%V 3
%N 2
%@ 2643-1564
%C College Park, MD
%I APS
%M FZJ-2022-00630
%P 023180
%D 2021
%X Quasicrystals lack translational symmetry, but can still exhibit long-range order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group approach to the prototypical quasicrystalline Penrose tiling Hubbard model treating competing electronic instabilities in an unbiased, beyond-mean-field fashion. Our work reveals a delicate interplay between charge and spin degrees of freedom in quasicrystals. Depending on the range of interactions and hopping amplitudes, we unveil a rich phase diagram including antiferromagnetic orderings, charge density waves, and subleading, superconducting pairing tendencies. For certain parameter regimes, we find a competition of phases, which is also common in crystals, but additionally encounter phases coexisting in a spatially separated fashion and ordering tendencies which mutually collaborate to enhance their strength. We therefore establish that quasicrystalline structures open up a route towards this rich ordering behavior uncommon to crystals and that an unbiased, beyond-mean-field approach is essential to describe this physics of quasicrystals correctly.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000662063500009
%R 10.1103/PhysRevResearch.3.023180
%U https://juser.fz-juelich.de/record/905377