Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study

Abstract

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the low-temperature quantum spin liquid and the high-temperature paramagnet in the Kitaev model on a three-dimensional hyperhoneycomb lattice. Here, we show that a similar "liquid-gas" transition takes place in another three-dimensional lattice, the hyperoctagon lattice. We investigate the critical phenomena by adopting the Green-function based Monte Carlo technique with the kernel polynomial method, which enables systematic analysis of up to 2048 sites. The critical temperature is lower than that in the hyperhoneycomb case, reflecting the smaller flux gap. We also discuss the transition on the basis of an effective model in the anisotropic limit.

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Cited by in corpus (17)

• Hunting Majorana Fermions in Kitaev Magnets
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Anderson-Kitaev spin liquid
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Flux mobility delocalization in the Kitaev spin ladder
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Thermodynamics of a gauge-frustrated Kitaev spin liquid
• Chiral spin liquids with crystalline ${\mathbb{Z}}_2$ gauge order in a three-dimensional Kitaev model
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
• Breakdown of order-fractionalization in the CPT model
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field