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.

arXiv comment9 pages, 12 figures

References in corpus (47)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• The Flux-Phase of the Half-Filled Band
• 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
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• 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
• Topological Magnons in Kitaev Magnets at High Fields
• Kitaev interactions in the Co honeycomb antiferromagnets Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Dynamics of the Kitaev-Heisenberg Model
• Sample dependence of the half-integer quantized thermal Hall effect in the Kitaev candidate $\alpha$-RuCl${}_3$
• Majorana Fermions, Exact Mappings between Classical and Topological Orders
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Physical solutions of the Kitaev honeycomb model
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Ground-state and thermodynamic properties of an $S=1$ Kitaev model
• Toward Kitaev's sixteenfold way in a honeycomb lattice model
• STM as a single Majorana detector of Kitaev's chiral spin liquid
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Perturbed vortex lattices and the stability of nucleated topological phases
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
• Dynamical properties of the honeycomb-lattice Iridates $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Fate of Dirac Points in a Vortex Superlattice
• 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