Tuning topological orders by a conical magnetic field in the Kitaev model

Abstract

We show that a conical magnetic field $\mathbf{H}=(1,1,1)H$ can be used to tune the topological order and hence anyon excitations of the ${\mathrm{Z}}_2$ quantum spin liquid in the isotropic antiferromagnetic Kitaev model. A novel topological order, featured with Chern number $C=4$ and Abelian anyon excitations, is induced in a narrow range of intermediate fields $H_{c1}\le H\le H_{c2}$. On the other hand, the $C=1$ Ising-topological order with non-Abelian anyon excitations, is previously known to be present at small fields, and interestingly, is found here to survive up to $H_{c1}$, and revive above $H_{c2}$, until the system becomes trivial above a higher field $H_{c3}$. The results are obtained by devoloping and applying a ${\mathrm{Z}}_2$ mean field theory, that works at zero as well as finite fields, and the associated variational quantum Monte Carlo.

5 pages, 3 color figures

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Cited by in corpus (21)

• Theory of the Kitaev model in a [111] magnetic field
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Density matrix renormalization group boosted by Gutzwiller projected wave functions
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Emergent quantum Majorana metal from a chiral spin liquid
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Machine learning reveals features of spinon Fermi surface
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Quantum Spin Liquid phases in Kitaev Materials
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Field tuning Kitaev systems for spin fractionalization and topological order
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Realizing Majorana fermion modes in the Kitaev model