Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration

Abstract

We study the Kitaev model with direction dependent interactions to investigate how the flux configuration and/or the anisotropy in the exchanges affect the Majorana excitations. Systematic numerical calculations demonstrate how the anisotropy of the exchange couplings and flux configuration make the Majorana excitation gapped. The induced gapped quantum spin liquid states are distinct from the gapped one realized in the large anisotropic limit. The nature of gapped states can be explained by the superlattice potential due to flux configuration.

9 pages, 12 figures

References in corpus (19)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Vaporization of Kitaev spin liquids
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Kitaev interactions in the Co honeycomb antiferromagnets Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Majorana Fermions, Exact Mappings between Classical and Topological Orders
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Majorana correlations in the Kitaev model with ordered-flux structures
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Scattering phenomena for spin transport in Kitaev spin liquid
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Cited by in corpus (1)

• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands