An Exact Chiral Amorphous Spin Liquid

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.

arXiv comment5 pages, 3 figures

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Cited by in corpus (15)

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• Amorphous quantum magnets in a two-dimensional Rydberg atom array
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• Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
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• Chiral Gapless Spin Liquid in Hyperbolic Space
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• Kitaev model in regular hyperbolic tilings
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• Genuine topological Anderson insulator from impurity induced chirality reversal
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid