Journal Article

FZJ-2022-00630

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Electronic instabilities in Penrose quasicrystals: Competition, coexistence, and collaboration of order

Hauck, J. B. (Corresponding author) ; Honerkamp, C. ; Achilles, S.FZJ* ; Kennes, D. M.

2021
APS College Park, MD

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Please use a persistent id in citations: http://hdl.handle.net/2128/30281  doi:10.1103/PhysRevResearch.3.023180

Abstract: 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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)
2. JARA-FIT (JARA-FIT)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. Simulation and Data Laboratory Quantum Materials (SDLQM) (SDLQM) (SDLQM)

Appears in the scientific report 2021

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