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An exact chiral amorphous spin liquid

Author

Listed:
  • G. Cassella

    (Imperial College London)

  • P. d’Ornellas

    (Imperial College London)

  • T. Hodson

    (Imperial College London)

  • W. M. H. Natori

    (Institut Laue-Langevin)

  • J. Knolle

    (Imperial College London
    Technische Universität München
    Munich Center for Quantum Science and Technology (MCQST))

Abstract

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous systems? Here we construct a soluble chiral amorphous quantum spin liquid by extending the Kitaev honeycomb model to random lattices with fixed coordination number three. The model retains its exact solubility but the presence of plaquettes with an odd number of sides leads to a spontaneous breaking of time reversal symmetry. We unearth a rich phase diagram displaying Abelian as well as a non-Abelian quantum spin liquid phases with a remarkably simple ground state flux pattern. Furthermore, we show that the system undergoes a finite-temperature phase transition to a conducting thermal metal state and discuss possible experimental realisations.

Suggested Citation

  • G. Cassella & P. d’Ornellas & T. Hodson & W. M. H. Natori & J. Knolle, 2023. "An exact chiral amorphous spin liquid," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-42105-9
    DOI: 10.1038/s41467-023-42105-9
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    References listed on IDEAS

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    1. Y. Kasahara & T. Ohnishi & Y. Mizukami & O. Tanaka & Sixiao Ma & K. Sugii & N. Kurita & H. Tanaka & J. Nasu & Y. Motome & T. Shibauchi & Y. Matsuda, 2018. "Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid," Nature, Nature, vol. 559(7713), pages 227-231, July.
    2. K. Kitagawa & T. Takayama & Y. Matsumoto & A. Kato & R. Takano & Y. Kishimoto & S. Bette & R. Dinnebier & G. Jackeli & H. Takagi, 2018. "A spin–orbital-entangled quantum liquid on a honeycomb lattice," Nature, Nature, vol. 554(7692), pages 341-345, February.
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