Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study

Abstract

The magnetic properties of 4d and 5d transition-metal insulating compounds with the honeycomb structure are believed to be described by the Heisenberg-Kitaev model, which contains both the isotropic Heisenberg interaction J and anisotropic Kitaev interaction K. In this paper, to investigate the charge dynamics in these materials, we study the single-hole propagation of the t-J-K model in various magnetically ordered phases by the self-consistent Born approximation. We find that there are low-energy coherent quasiparticle (QP) excitations in all of these phases which appear firstly around the K point in the Brillouin zone (BZ), but the band-widths of these QPs are very small due to the hole-magnon coupling. Interestingly, in the zigzag phase relevant to recent experiments, though the QP weights are largely suppressed in the physical spectra in the first BZ, we find that they recover in the extended BZs. Moreover, our results reveal that the low-energy QP spectra are reduced with the increase of K.

arXiv comment9 pages, 5 figures

References in corpus (33)

• 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
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Crystal field splitting and correlation effect on the electronic structure of A2IrO3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• J${}_{eff}$ description of the honeycomb Mott insulator $\alpha$-RuCl${}_3$
• Electronic Structure of the Kitaev Material $\alpha$-${\text{RuCl}}_3$ Probed by Photoemission and Inverse Photoemission Spectroscopies
• Dispersion of a single hole in the t-J model
• ARPES study of the Kitaev Candidate $\alpha$-RuCl${}_3$
• Hole photoproduction in insulating copper oxide
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• Possible singlet and triplet superconductivity on honeycomb lattice
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Correlation induced electron-hole asymmetry in quasi-2D iridates
• Hole Dispersion and Symmetry of the Superconducting Order Parameter for Underdoped CuO${}_2$ Bilayers and 3D Antiferromagnets
• Single-hole properties of the t-J model on the honeycomb lattice
• Localized in-gap state in a single electron doped Mott insulator
• SU($N$) spin-wave theory: Application to spin-orbital Mott insulators
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• ARPES Spectral Function in Lightly Doped and Antiferromagnetically Ordered YBa2Cu3O{6+y}
• Coherent hole propagation in an exactly solvable gapless spin liquid

Cited by in corpus (3)

• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems