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@ARTICLE{Herrig:1021463,
      author       = {Herrig, Tobias and Koliofoti, Christina and Pixley,
                      Jedediah H. and König, Elio J. and Riwar, Roman-Pascal},
      title        = {{E}mulating $moir\'e$ materials with quasiperiodic circuit
                      quantum electrodynamics},
      publisher    = {arXiv},
      reportid     = {FZJ-2024-00756, arXiv:2310.15103},
      year         = {2023},
      note         = {11 pages, 5 figures},
      abstract     = {Topological bandstructures interfering with $moir\'e$
                      superstructures give rise to a plethora of emergent
                      phenomena, which are pivotal for correlated insulating and
                      superconducting states of twisttronics materials. While
                      quasiperiodicity was up to now a notion mostly reserved for
                      solid-state materials and cold atoms, we here demonstrate
                      the capacity of conventional superconducting circuits to
                      emulate $moir\'e$ physics in charge space. With two
                      examples, we show that Hofstadter's butterfly and the
                      magic-angle effect, are directly visible in spectroscopic
                      transport measurements. Importantly, these features survive
                      in the presence of harmonic trapping potentials due to
                      parasitic linear capacitances. Our proposed platform
                      benefits from unprecedented tuning capabilities, and opens
                      the door to probe incommensurate physics in virtually any
                      spatial dimension.},
      keywords     = {Mesoscale and Nanoscale Physics (cond-mat.mes-hall) (Other)
                      / Superconductivity (cond-mat.supr-con) (Other) / Quantum
                      Physics (quant-ph) (Other) / FOS: Physical sciences (Other)},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5222 - Exploratory Qubits (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5222},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2310.15103},
      howpublished = {arXiv:2310.15103},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2310.15103;\%\%$},
      doi          = {10.34734/FZJ-2024-00756},
      url          = {https://juser.fz-juelich.de/record/1021463},
}