Majorana correlations in the Kitaev model with ordered-flux structures

Abstract

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum spin liquid appears as the ground state of the Kitaev model in the flux-free sector, which has intensively been investigated so far. In this flux sector, the Majorana fermion system has linear dispersions and shows power law behavior in the Majorana correlations. On the other hand, periodically-arranged flux configurations yield low-energy excitations in the Majorana fermion system, which are distinctly different from those in the flux-free state. We find that one of the periodically arranged flux states results in the gapped Majorana dispersion and the exponential decay in the Majorana correlations. The Kitaev system with another flux configuration exhibits a semi-Dirac like dispersion, leading to the power law decay with a smaller power than that in the flux-free sector along symmetry axes. We also examine the effect of the randomness in the flux configurations and clarify that the Majorana density of states is filled by increasing the flux density, and power-law decay in the Majorana correlations remains. The present results could be important to control the motion of Majorana fermions, which carries the spin excitations, in the Kitaev candidate materials.

arXiv comment9 pages, 14 figures

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• Disorder effects in the Kitaev-Heisenberg model
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Scattering phenomena for spin transport in Kitaev spin liquid
• Interedge spin resonance in the Kitaev quantum spin liquid
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Field-direction Dependence of Majorana-mediated Spin Transport
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands