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  • Letter

Emergent hypermagic manifold in twisted Kitaev bilayers

Samuel Haskell* and Alessandro Principi†

  • Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom

  • *samuel.haskell@manchester.ac.uk
  • †alessandro.principi@manchester.ac.uk

Phys. Rev. B 106, L161404 – Published 10 October, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L161404

Abstract

Kitaev quantum spin liquids have been the focus of intense research effort owing to the discovery of various materials (e.g., RuCl3) that approximate their intriguing physics. In this Letter we construct a mean-field approximation for a moiré superlattice emerging in twisted Kitaev bilayers in terms of solutions of commensurate bilayers. We show that the band structure of deconfined spinons, defined on the mini-Brillouin zone of the superlattice, is greatly modified. The system exhibits a hypermagic manifold: a series of nearly perfectly flat bands appear at energies above the lowest gap, exhibiting a very large local (spinon) density of states that could potentially be probed experimentally. Intriguingly, flat-band eigenstates exhibit a localization akin to wave functions of kagome lattices.

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