Unveiling the S=3/2 Kitaev honeycomb spin liquids

Hui-Ke Jin (), W. M. H. Natori, F. Pollmann and J. Knolle
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Hui-Ke Jin: Technische Universität München
W. M. H. Natori: Institute Laue-Langevin
F. Pollmann: Technische Universität München
J. Knolle: Technische Universität München

Nature Communications, 2022, vol. 13, issue 1, 1-6

Abstract: Abstract The S=3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state coupled to a static Z2 gauge field. Employing an SO(6) Majorana representation of spin3/2’s, we find an exact representation of the conserved plaquette fluxes in terms of static Z2 gauge fields akin to the S=1/2 KHM which enables us to treat the remaining interacting matter fermion sector in a parton mean-field theory. We uncover a ground-state phase diagram consisting of gapped and gapless QSLs. Our parton description is in quantitative agreement with numerical simulations, and is furthermore corroborated by the addition of a [001] single ion anisotropy (SIA) which continuously connects the gapless Dirac QSL of our model with that of the S=1/2 KHM. In the presence of a weak [111] SIA, we discuss an emergent chiral QSL within a perturbation theory.

Date: 2022
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DOI: 10.1038/s41467-022-31503-0

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