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@ARTICLE{Hauck:905377,
      author       = {Hauck, J. B. and Honerkamp, C. and Achilles, Sebastian and
                      Kennes, D. M.},
      title        = {{E}lectronic instabilities in {P}enrose quasicrystals:
                      {C}ompetition, coexistence, and collaboration of order},
      journal      = {Physical review research},
      volume       = {3},
      number       = {2},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2022-00630},
      pages        = {023180},
      year         = {2021},
      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.},
      cin          = {JSC / JARA-FIT},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / $I:(DE-82)080009_20140620$},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / Simulation and Data
                      Laboratory Quantum Materials (SDLQM) (SDLQM)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(DE-Juel1)SDLQM},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000662063500009},
      doi          = {10.1103/PhysRevResearch.3.023180},
      url          = {https://juser.fz-juelich.de/record/905377},
}