Fractionalization Signatures in the Dynamics of Quantum Spin Liquids

Abstract

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic field through which the model becomes non-integrable. Using the infinite projected entangled pair states (iPEPS) ansatz, along with analytical calculations and exact diagonalization, we calculate dynamical signatures of fractionalized particles through spin-spin and dimer-dimer correlations. Our analysis demonstrates the ability of these correlations to discern distinct fractionalized quantum sectors, namely Majorana fermions and the emergent $Z_2$ fluxes, in both the chiral spin liquid (CSL) phase under weak field and the emergent intermediate gapless phase (IGP) under moderate field. Importantly, our calculation reveals the nature of IGP observed at moderate fields, a region of ongoing debate, indicating that this phase is a Majorana metal induced by strong flux fluctuations.

arXiv comment5+10 pages, 4+12 figures

References in corpus (90)

• Anyons in an exactly solved model and beyond
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Quantum Spin Liquids
• Efficient simulation of one-dimensional quantum many-body systems
• Quantum Spin Liquid States
• Real time evolution using the density matrix renormalization group
• One-Dimensional Fermi liquids
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Time-dependent variational principle for quantum lattices
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Kitaev quantum spin liquid - concept and materialization
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• A Field Guide to Spin Liquids
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Corner Transfer Matrix Renormalization Group Method
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Spin Ice, Fractionalization and Topological Order
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Differentiable Programming Tensor Networks
• Post-Matrix Product State Methods: To tangent space and beyond
• Quasiparticle localization in superconductors with spin-orbit scattering
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Dynamics of Fractionalization in Quantum Spin Liquids
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Variational matrix product ansatz for dispersion relations
• Time Dependent Variational Principle with Ancillary Krylov Subspace
• Tensor renormalization of quantum many-body systems using projected entangled simplex states
• Chebyshev matrix product state approach for spectral functions
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Thermal metal in network models of a disordered two-dimensional superconductor
• Excitations and the tangent space of projected entangled-pair states
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Simulating excitation spectra with projected entangled-pair states
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Direct observation of multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Excitations with projected entangled pair states using the corner transfer matrix method
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Experimental signatures of quantum and topological states in frustrated magnetism
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• Intermediate gapless phase and topological phase transition of Kitaev model in a uniform magnetic field
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field
• Matrix product state recursion methods for strongly correlated quantum systems
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Differentiable programming tensor networks for Kitaev magnets
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Machine learning reveals features of spinon Fermi surface

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