Vortex creation and control in the Kitaev spin liquid by local bond modulations

Abstract

The Kitaev model realizes a quantum spin liquid where the spin excitations are fractionalized into itinerant Majorana fermions and localized ${\mathbb{Z}}_2$ vortices. Quantum entanglement between the fractional excitations can be utilized for decoherence-free topological quantum computation. Of particular interest is the anyonic statistics realized by braiding the vortex excitations under a magnetic field. Despite the promising potential, the practical methodology for creation and control of the vortex excitations remains elusive thus far. Here we theoretically propose how one can create and move the vortices in the Kitaev spin liquid. We find that the vortices are induced by a local modulation of the exchange interaction; especially, the local Dzyaloshinskii-Moriya (symmetric off-diagonal) interaction can create vortices most efficiently in the (anti)ferromagnetic Kitaev model, as it effectively flips the sign of the Kitaev interaction. We test this idea by performing the {\it ab initio} calculation for a candidate material $\alpha$-RuCl${}_3$ through the manipulation of the ligand positions that breaks the inversion symmetry and induces the local Dzyaloshinskii-Moriya interaction. We also demonstrate a braiding of vortices by adiabatically and successively changing the local bond modulations.

References in corpus (55)

• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Maximally-localized generalized Wannier functions for composite energy bands
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Search for Majorana fermions in superconductors
• Quantum Spin Liquid States
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Kitaev quantum spin liquid - concept and materialization
• Introduction to topological superconductivity and Majorana fermions
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• A Field Guide to Spin Liquids
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Effective Coulomb interaction in transition metals from constrained random-phase approximation
• Hubbard U and Hund's Exchange J in Transition Metal Oxides: Screening vs. Localization Trends from Constrained Random Phase Approximation
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Vortex Imaging in the pi-Band of Magnesium Diboride
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Spin-orbit excitations and electronic structure of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Direct observation of melting in a 2-D superconducting vortex lattice
• Theory of the field-revealed Kitaev spin liquid
• A new Majorana platform in an Fe-As bilayer superconductor
• Quantum Lattice Model Solver $\mathcal{H}\Phi$
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Electronic Structure of the Kitaev Material $\alpha$-${\text{RuCl}}_3$ Probed by Photoemission and Inverse Photoemission Spectroscopies
• Creation and Manipulation of Anyons in the Kitaev Model
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• Tunneling Spectroscopy and Vortex Imaging in Boron-Doped Diamond
• Fractional quantum Hall effect and nonabelian statistics
• Tunneling spectroscopy of quantum spin liquids
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• STM as a single Majorana detector of Kitaev's chiral spin liquid
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Interacting Majorana Fermions
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Antiferromagnetic Kitaev Interactions in Polar Spin-Orbit Mott Insulators