Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion

Abstract

We apply the numerical linked cluster expansion (NLCE) to study thermodynamic properties of the proximate Kitaev magnet $\alpha$-RuCl${}_3$ on the honeycomb lattice in the presence of a magnetic field. Using the extended spin-1/2 $J$-$K$-$\Gamma$ model and based on documented exchange and magnetoelastic coupling parameters, we present results for the internal energy, the specific heat, and the magnetization. Moreover, the linear magnetostriction coefficient perpendicular to the plane is calculated, which is sensitive to changes of the in-plane spin-spin correlations. We find the magnetostriction to display a dip-like feature, in line with the temperature dependent and field-driven suppression of magnetic order in $\alpha$-RuCl${}_3$. Our results are consistent with previous findings, establishing NLCE also as a tool to study magnetoelastic features of quantum magnets.

arXiv comment10 pages, 5 figures

References in corpus (91)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• 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
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Fermionic response from fractionalization in an insulating two-dimensional magnet
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Vaporization of Kitaev spin liquids
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Colossal magnetostriction and negative thermal expansion in the frustrated antiferromagnet ZnCr2Se4
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Quantization of the thermal Hall conductivity at small Hall angles
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$
• A Short Introduction to Numerical Linked-Cluster Expansions
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Entanglement at a Two-Dimensional Quantum Critical Point: a Numerical Linked Cluster Expansion Study
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• High-Order Coupled Cluster Method Study of Frustrated and Unfrustrated Quantum Magnets in External Magnetic Fields
• Quantum Phases of the Planar Antiferromagnetic J_1-J_2-J_3 Heisenberg-Model
• High-Order Coupled Cluster Method Calculations for the Ground- and Excited-State Properties of the Spin-Half XXZ Model
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Phonon dynamics in the Kitaev spin liquid
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Effective models for gapped phases of strongly correlated quantum lattice models
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Phonon renormalization in the Kitaev quantum spin liquid
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
• Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Heat transport in the anisotropic Kitaev spin liquid
• Numerical linked cluster expansions for quantum quenches in one dimensional lattices
• Numerical study of the thermodynamics of clinoatacamite
• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
• Footprints of the Kitaev spin liquid in the Fano lineshapes of the Raman active optical phonons
• Numerical linked cluster expansions for inhomogeneous systems
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Non-perturbative linked-cluster expansions in long-range ordered quantum systems
• Complex magnetic phase diagram with a small phase pocket in a three-dimensional frustrated magnet CuInCr${}_4$S${}_8$
• Crystal-field magnetostriction of the spin ice under ultrahigh magnetic fields
• Numerical linked-cluster expansions for two-dimensional spin models with continuous disorder distributions