Dynamics of the Kitaev-Heisenberg Model

Abstract

We introduce a matrix-product state based method to efficiently obtain dynamical response functions for two-dimensional microscopic Hamiltonians, which we apply to different phases of the Kitaev-Heisenberg model. We find significant broad high energy features beyond spin-wave theory even in the ordered phases proximate to spin liquids. This includes the phase with zig-zag order of the type observed in $\alpha$-RuCl${}_3$, where we find high energy features like those seen in inelastic neutron scattering experiments. Our results provide an example of a natural path for proximate spin liquid features to arise at high energies above a conventionally ordered state, as the diffuse remnants of spin-wave bands intersect to yield a broad peak at the Brillouin zone center.

7 pages, 8 figures

References in corpus (14)

• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Time-evolving a matrix product state with long-ranged interactions
• Scaling of entanglement support for Matrix Product States
• Fractional excitations in the square-lattice quantum antiferromagnet
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model

Cited by in corpus (109)

• Kitaev quantum spin liquid - concept and materialization
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Topological Magnons in Kitaev Magnets at High Fields
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Frustration and quantum criticality
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Heisenberg-Kitaev physics in magnetic fields
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Strong quantum interactions prevent quasiparticle decay
• Topological magnonics in the two-dimensional van der Waals magnet CrI3
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Unusual heat transport of the Kitaev material Na${}_2$Co${}_2$TeO${}_6$: putative quantum spin liquid and low-energy spin excitations
• Excitations with projected entangled pair states using the corner transfer matrix method
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Thermal Hall effects in quantum magnets
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Variational study of the Kitaev-Heisenberg-Gamma model
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries
• Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Two-step gap opening across the quantum critical point in a Kitaev honeycomb magnet
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Dynamical quantum phase transition for mixed states in open systems
• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
• Charge excitation dynamics in bosonic fractional Chern insulators
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• From Linear to Nonlinear Responses of Thermal Pure Quantum States
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Excitation spectrum of spin-1 Kitaev spin liquids
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Quantum dynamics in one and two dimensions via recursion method
• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Highly resolved spectral functions of two-dimensional systems with neural quantum states
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Quantum Monte Carlo Simulation of Generalized Kitaev Models
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Fast Time-Evolution of Matrix-Product States using the QR decomposition
• Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
• Differentiable programming tensor networks for Kitaev magnets
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Momentum-resolved time evolution with matrix product states
• Spectral functions with infinite projected entangled-pair states
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Quantitative Determination of the Confinement and Deconfinement of spinons in the anomalous spectra of Antiferromagnets via the Entanglement Entropy
• Machine learning reveals features of spinon Fermi surface
• Magnon Spectra of Cuprates beyond Spin Wave Theory
• Response and phase transition of a Kitaev spin liquid in a local magnetic field
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Inferring Hidden Symmetries of Exotic Magnets from Detecting Explicit Order Parameters
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Field-Induced Magnon Decay, Magnon Shadows, and Roton-like Excitations in the Honeycomb Antiferromagnet YbBr${}_3$
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Vacancies in generic Kitaev spin liquids
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• Entropic Quantum Machine
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Symmetric channel verification for purifying noisy quantum channels
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
• Negative sign free formulations of generalized Kitaev models with higher symmetries
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers