Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state

Abstract

Thermal signatures of fractionalized excitations are a fingerprint of quantum spin liquids (QSLs). In the $J_{eff}=1/2$ honeycomb magnet $\alpha$-RuCl${}_3$, a QSL state emerges upon applying an in-plane magnetic field $H_{||}$ greater than the critical field $H_{C2}\approx$ 7 T along the a-axis, where the thermal Hall conductivity ($k_{XY}/T$) was reported to take on the half-quantized value $k_{HQ}/T$. This finding was discussed as a signature of an emergent Majorana edge mode predicted for the Kitaev QSL. The $H_{||}$- and $T$-range of the half-quantized signal and its relevance to a Majorana edge mode are, however, still under debate. Here we present a comprehensive study of $k_{XY}/T$ in $\alpha$-RuCl${}_3$ with $H_{||}$ up to 13 T and $T$ down to 250 mK, which reveals the presence of an extended region of the phase diagram with $k_{XY}/T\approx k_{HQ}/T$ above $H_{C2}$, in particular across a plateau-like plane for $H_{||}$ > 10 T and $T$ < 6.5 K. From 7 T up to $\sim$10 T, $k_{XY}/T$ is suppressed to zero upon cooling to lowest temperature without any plateau-like behavior and exhibits correlations with complex anomalies in the longitudinal thermal conductivity ($k_{XX}$) and magnetization around 10 T. The results are in support of a topological state with a half-quantized $k_{XY}/T$ and suggest an interplay with crossovers or weak phase transitions beyond $H_{C2}$ in RuCl${}_3$.

References in corpus (8)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Nature of Magnetic Excitations in the High-Field Phase of $\alpha$-RuCl${}_3$

Cited by in corpus (119)

• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Evidence of a Phonon Hall Effect in the Kitaev Spin Liquid Candidate $\alpha$-RuCl${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• The phonon thermal Hall angle in black phosphorus
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Origin of oscillatory structures in the magnetothermal conductivity of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Oscillations in the magnetothermal conductivity of $\mathbf{\alpha }$-RuCl${}_3$: Evidence of transition anomalies
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\alpha$-RuCl${}_3$
• Topological Thermal Hall Effect of Magnons in Magnetic Skyrmion Lattice
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Kitaev Quantum Spin Liquids
• Stacking disorder and thermal transport properties of $\alpha$-RuCl${}_3$
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Planar thermal Hall effect from phonons in a Kitaev candidate material
• The sample-dependent and sample-independent thermal transport properties of $\alpha$-RuCl${}_3$
• An Exact Chiral Amorphous Spin Liquid
• Phonon drag thermal Hall effect in metallic strontium titanate
• Thermal Hall effect in a van der Waals triangular magnet FeCl2
• Evidence for the first-order topological phase transition in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Probing the Quantum Noise of the Spinon Fermi Surface with NV Centers
• Direct visualization of the charge transfer in Graphene/$\alpha$-RuCl${}_3$ heterostructure
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Thermal Hall effects due to topological spin fluctuations in YMnO${}_3$
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Flavor-wave theory with quasiparticle damping at finite temperatures: Application to chiral edge modes in the Kitaev model
• Emergent orbital magnetization in Kitaev quantum magnets
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Mechanism of carrier doping induced magnetic phase transitions in two-dimensional materials
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Two-step growth of high-quality single crystals of the Kitaev magnet $\alpha$-RuCl${}_3$
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Thermal Hall response: violation of gravitational analogues and Einstein relations
• Thermal Hall conductivity of $\alpha$-RuCl${}_3$
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Magnetothermal transport in ultraclean single crystals of Kitaev magnet $\alpha$-RuCl${}_3$
• Exchange striction induced thermal Hall effect in van der Waals antiferromagnet MnPS${}_3$
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Planar thermal Hall effect from phonons in cuprates
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Engineering the Kitaev spin liquid in a quantum dot system
• Numerical simulation of non-abelian anyons
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Intermediate field-induced phase of the honeycomb magnet BaCo${}_2$(AsO${}_4$)${}_2$
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Interedge spin resonance in the Kitaev quantum spin liquid
• Drag resistance mediated by quantum spin liquids
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Large Oscillatory Thermal Hall Effect in Kagome Metals
• Dilution of the magnetic lattice in the Kitaev candidate $\alpha$-RuCl${}_3$ by Rh${}^{3+}$ doping
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Chiral excitations and the intermediate-field spin-liquid regime in the Kitaev magnet $\alpha$-RuCl${}_3$
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Quantum Spin Liquid phases in Kitaev Materials
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Anisotropic in-plane heat transport of Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• Bulk excitations in ultraclean $\alpha$-RuCl${}_3$: Quantitative evidence for Majorana dispersions in a Kitaev quantum spin liquid
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Thermal decomposition of the Kitaev material $\alpha$-RuCl${}_3$ and its influence on low-temperature behavior
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Electric polarization near vortices in the extended Kitaev model
• Vacancies in generic Kitaev spin liquids
• Field tuning Kitaev systems for spin fractionalization and topological order
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Direct evidence for anisotropic magnetic interaction in $\alpha$-RuCl${}_3$ from polarized inelastic neutron scattering
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Extrinsic contribution to bosonic thermal Hall transport
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• 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
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$
• Spin-orbit coupling controlled two-dimensional magnetism in chromium trihalides
• Spin sensitive transport in RuCl_3/Pt heterostructures: revealing a field-transverse spin anisotropy in a spin liquid candidate