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Emulating moiré materials with quasiperiodic circuit quantum electrodynamics

T. Herrig1,2,*, C. Koliofoti1, J. H. Pixley3,4, E. J. König5,6, and R.-P. Riwar1

  • *Contact author: t-herrig@web.de
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Phys. Rev. B 111, L201104 – Published 6 May, 2025

DOI: https://doi.org/10.1103/PhysRevB.111.L201104

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.

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Phys. Rev. B 111, L201104– Published 6 May, 2025
  • Received 25 January 2024
  • Revised 22 January 2025
  • Accepted 28 March 2025
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