Low temperature properties in the Bilayer Kitaev model

Abstract

The ground state of the bilayer Kitaev model with the Heisenberg-type interlayer exchange interaction is investigated by means of the exact diagonalization. Calculating the ground-state energy, local quantity defined on each plaquette, and dynamical spin structure factor, we obtain results suggesting the existence of a quantum phase transition between the Kitaev quantum spin liquid (QSL) and dimer singlet states when the interlayer coupling is antiferromagnetic. On the other hand, increasing the ferromagnetic interlayer coupling, there exists no singularity in the physical quantities, suggesting that the $S=1/2$ Kitaev QSL state realized in each layer adiabatically connects to another QSL state realized in the $S=1$ Kitaev model. Thermodynamic properties are also studied by means of the thermal pure quantum state method.

arXiv comment6 pages, 5 figures

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• Majorana correlations in the Kitaev model with ordered-flux structures
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Topological and magnetic phase transitions in the bilayer Kitaev-Ising model
• Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Magnetic order through Kondo coupling to quantum spin liquids
• Two-triplon excitations of the Kitaev-Heisenberg-Bilayer
• Even-odd effect in multilayer Kitaev honeycomb magnets
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices