Emulating moiré materials with quasiperiodic circuit quantum electrodynamics

Topological band structures interfering with moiré 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 moiré 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.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-05-06
DOI
https://doi.org/10.1103/physrevb.111.l201104
Citations
1
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
1.25

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article

Emulating moiré materials with quasiperiodic circuit quantum electrodynamics

Roman-Pascal Riwar, Tobias Herrig, Christina Koliofoti, J. H. Pixley et al.
1 citations
Physical review. B./Physical review. B
Topological Materials and Phenomena
1.25
article

Emulating moiré materials with quasiperiodic circuit quantum electrodynamics

Roman-Pascal Riwar, Tobias Herrig, Christina Koliofoti, J. H. Pixley, Elio J. König
article en
1 citations

Abstract

Topological band structures interfering with moiré 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 moiré 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.

Physical review. B./Physical review. BVol. 111(20)
Karlsruhe Institute of Technology (DE), University of Wisconsin–Madison (US), Forschungszentrum Jülich (DE), Max Planck Institute for Solid State Research (DE), Rutgers Sexual and Reproductive Health and Rights (NL), Flatiron Health (United States) (US), Flatiron Institute (US)
National Science Foundation, Alfred P. Sloan Foundation, University of Wisconsin-Madison, Flatiron Health, Bundesministerium für Bildung und Forschung, Forschungszentrum Jülich, Division of Graduate Education, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, Air Force Office of Scientific Research
Openalex Percentile: Top 22%
Topological Materials and Phenomena
1.25
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