Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid

Abstract

The Kitaev quantum spin liquid possesses two fractional quasiparticles, itinerant Majorana fermions and localized visons. It provides a promising platform for realizing a Majorana zero mode trapped by a vison excitation. This local mode behaves as a non-Abelian anyon capable of applications to quantum computation. However, creating, observing, and manipulating visons remain challenging even in the pristine Kitaev model. Here, we propose a theory to control visons enabled by a time-dependent local magnetic field in the Kitaev spin liquid. Examining the time evolution of the magnetic state, we demonstrate that a vison follows a locally applied field sweeping in the system. We clarify that one can move a vison accompanied by a Majorana zero mode by choosing the velocity and shape of the local field appropriately. In particular, the controllability of visons using local fields shows nonlinear behavior for its strength, which originates from interactions between Majorana fermions and visons. The present results suggest that itinerant Majorana fermions other than zero modes play a crucial role in vison transport. Our finding will offer a guideline for controlling Majorana zero modes in the Kitaev quantum spin liquid.

arXiv comment11 pages, 8 figures

References in corpus (61)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Topological superconductors: a review
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• 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
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• A Field Guide to Spin Liquids
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Observation of half-integer thermal Hall conductance
• Majorana Fermions and Topology in Superconductors
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• 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
• 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
• Theory of Anderson pseudospin resonance with Higgs mode in superconductors
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• 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
• Topological phases in ultracold polar-molecule quantum magnets
• Evidence of a Phonon Hall Effect in the Kitaev Spin Liquid Candidate $\alpha$-RuCl${}_3$
• Designing Kitaev spin liquids in metal-organic frameworks
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Magnetic thermal conductivity far above the Néel temperatures in the Kitaev-magnet candidate $\alpha$-RuCl${}_3$
• Tunneling spectroscopy of quantum spin liquids
• Kitaev honeycomb and other exotic spin models with polar molecules
• Implementation of Clifford gates in the Ising-anyon topological quantum computer
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Collective Modes in Excitonic Insulators: Effects of Electron-Phonon Coupling and Signatures in Optical Response
• 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
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Thermal interferometry of anyons in spin liquids
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Scattering phenomena for spin transport in Kitaev spin liquid

Cited by in corpus (4)

• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands