Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid

Abstract

We study the effect of site dilution in Kitaev's model. We derive an analytical solution of the dynamical spin correlation functions for arbitrary configurations of $Z_2$ fluxes. By incorporating this solution into classical Monte Carlo scheme, we address how a site vacancy affects the experimental observables, such as the static spin susceptibility and the spin lattice relaxation rate, $1/T_1$. As a result, we found an enhancement of dynamical magnetic response in the vicinity of vacancy, which leads to Friedel-like oscillation in local $1/T_1$, in contrast to limited influences on the static susceptibility. Furthermore, we found a sharp zero-energy peak in the magnetic excitation spectrum, which is attributed to the Vison & Majorana zero mode trapped near the site vacancy. This zero mode can be interpreted as fractionalized spin hole into an Ising triplet with differentiated magnetic axes, which leads to the characteristic temperature and field-orientational dependence of $1/T_1$.

13 pages, 6 figures

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• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Thermodynamic classification of three-dimensional Kitaev spin liquids
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• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
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• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
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• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation