Site dilution in Kitaev's honeycomb model

Abstract

We study the physical consequences of site dilution in Kitaev's honeycomb model, in both its gapped and gapless phases. We show that a vacancy binds a flux of the emergent $Z_2$ gauge field and induces a local moment. In the gapped phase this moment is free while in the gapless phase the susceptibility has the dependence $\chi (h)\sim \ln (1/h)$ on field strength $h$. Vacancy moments have interactions that depend on their separation, their relative sublattice, and the phase of the model. Strikingly, in the gapless phase, two nearby vacancies on the same sublattice have a parametrically larger $\chi (h)\sim (h[\ln (1/h){]}^{3/2}{)}^{-1}$. In the gapped phase, even a finite density of randomly distributed vacancies remains tractable, via a mapping to a bipartite random hopping problem. This leads to a strong disorder form of the low-energy thermodynamics, with a Dyson-type singularity in the density of states for excitations.

18 pages, 12 figures

References in corpus (6)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Disorder Induced Localized States in Graphene
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Disorder in a quantum spin liquid: flux binding and local moment formation
• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Fractional spin textures in the frustrated magnet SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$

Cited by in corpus (79)

• A Field Guide to Spin Liquids
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Dynamics of Fractionalization in Quantum Spin Liquids
• Sample dependence of the half-integer quantized thermal Hall effect in the Kitaev candidate $\alpha$-RuCl${}_3$
• Bond disordered spin liquid and the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$ $-$ abundant low energy density of states from random Majorana hopping
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Physical solutions of the Kitaev honeycomb model
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Vacancy-induced low-energy density of states in the Kitaev spin liquid
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• STM as a single Majorana detector of Kitaev's chiral spin liquid
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Variational study of the Kitaev-Heisenberg-Gamma model
• Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model
• Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
• Density of states in graphene with vacancies: midgap power law and frozen multifractality
• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Signatures of a spin-1/2 cooperative paramagnet in the diluted triangular lattice of Y${}_2$CuTiO${}_6$
• Spin-glass state and reversed magnetic anisotropy induced by Cr doping in the Kitaev magnet $\alpha$-RuCl${}_3$
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Kitaev Quantum Spin Liquids
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Coulomb charging energy of vacancy-induced states in graphene
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Localised zero-energy modes in the Kitaev model with vacancy-disorder
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Kitaev spin models from topological nanowire networks
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Probing signatures of fractionalization in candidate quantum spin liquid Cu2IrO3 via anomalous Raman scattering
• Vacancy-induced low-energy states in undoped graphene
• Emergent moments and random singlet physics in a Majorana spin liquid
• A Kondo route to spin inhomogeneities in the honeycomb Kitaev model
• Exactly Solvable Topological Chiral Spin Liquid with Random Exchange
• Unpaired Majorana modes in the gapped phase of Kitaev's honeycomb model
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Highly Dispersive Scattering From Defects In Non-Collinear Magnets
• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• Exceptional dynamics of interacting spin liquids
• Majorana edge magnetization in the Kitaev honeycomb model
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Disorder effects in the Kitaev-Heisenberg model
• Coherent hole propagation in an exactly solvable gapless spin liquid
• Compass and Kitaev models -- Theory and Physical Motivations
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Scattering phenomena for spin transport in Kitaev spin liquid
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Projective symmetry of partons in Kitaev's honeycomb model
• Raman fingerprints of fractionalized Majorana excitations in honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• $Z_2$ flux binding to higher-spin impurities in the Kitaev spin liquid
• Interedge spin resonance in the Kitaev quantum spin liquid
• Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• The Future of the Correlated Electron Problem
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Vacancies in generic Kitaev spin liquids
• Field tuning Kitaev systems for spin fractionalization and topological order
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Random Transverse Field Effects on Magnetic Noise in Spin Systems
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Realizing Majorana fermion modes in the Kitaev model
• Theory of collective topologically-protected Majorana fermion excitations of networks of localized Majorana modes
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Chiral $p-$wave superconductivity in Pb${}_{1-x}$Sn${}_x$Te: signatures from bound-state spectra and wavefunctions