TY  - JOUR
AU  - Hauck, J. B.
AU  - Honerkamp, C.
AU  - Achilles, Sebastian
AU  - Kennes, D. M.
TI  - Electronic instabilities in Penrose quasicrystals: Competition, coexistence, and collaboration of order
JO  - Physical review research
VL  - 3
IS  - 2
SN  - 2643-1564
CY  - College Park, MD
PB  - APS
M1  - FZJ-2022-00630
SP  - 023180
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000662063500009
DO  - DOI:10.1103/PhysRevResearch.3.023180
UR  - https://juser.fz-juelich.de/record/905377
ER  -