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Higher-dimensional generalization of the Kitaev spin liquid

Po-Jui Chen1,* and Piers Coleman1,2

  • *Contact author: pc863@physics.rutgers.edu
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Phys. Rev. B 113, 155140 – Published 20 April, 2026

DOI: https://doi.org/10.1103/fvjg-pb5k

Abstract

We construct an exactly solvable model of a four-dimensional Kitaev spin liquid. The lattice structure is orthorhombic and each unit cell contains six sublattice degrees of freedom. We demonstrate that the Fermi surface of the model is made up of two-dimensional surfaces. Additionally, we evaluate the energy cost of creating visons using scattering theory. The positive bond-flip energy suggests that the flux-free state is locally stable. Our model sheds light on the realization of high-dimensional fractionalization.

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Phys. Rev. B 113, 155140– Published 20 April, 2026
  • Received 17 June 2025
  • Revised 22 October 2025
  • Accepted 19 March 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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