Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces

Abstract

Recent theoretical studies have found quantum spin liquid states with spinon Fermi surfaces upon the application of a magnetic field on a gapped state with topological order. We investigate the thermal Hall conductivity across this transition, describing how the quantized thermal Hall conductivity of the gapped state changes to an unquantized thermal Hall conductivity in the gapless spinon Fermi surface state. We consider two cases, both of potential experimental interest: the state with non-Abelian Ising topological order on the honeycomb lattice, and the state with Abelian chiral spin liquid topological order on the triangular lattice.

arXiv comment20 pages, 9 figures

References in corpus (123)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Quantum Spin Liquid States
• Correlated quantum phenomena in the strong spin-orbit regime
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Quantum Spin Liquids
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Quantum Orders and Symmetric Spin Liquids
• Anomalous Hall effect in ferromagnetic semiconductors
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Models and Materials for Generalized Kitaev Magnetism
• Berry phase effect in anomalous thermoelectric transport
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Theory of Thermal Hall Effect in Quantum Magnets
• A Field Guide to Spin Liquids
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• 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
• Inversion symmetry breaking in noncollinear magnetic phase of a triangular lattice antiferromagnet CuFeO2
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Observation of half-integer thermal Hall conductance
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Orbital order and fluctuations in Mott insulators
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• The Flux-Phase of the Half-Filled Band
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Spin-driven ferroelectricity and possible antiferroelectricity in triangular lattice antiferromagnets ACrO2 (A = Cu, Ag, Li, or Na)
• Level/rank Duality and Chern-Simons-Matter Theories
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Energy Magnetization and Thermal Hall Effect
• Low-energy effective theory of the toric code model in a parallel field
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Robustness of a perturbed topological phase
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet $\alpha$-RuCl${}_3$
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• A new high-temperature quantum spin liquid with polaron spins
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Topography of Spin Liquids on a Triangular Lattice
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Phonons become chiral in the pseudogap phase of cuprates
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Fractionalization in the cuprates: Detecting the topological order
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Quantization of the thermal Hall conductivity at small Hall angles
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Topological field theory and thermal responses of interacting topological superconductors
• Self-duality and bound states of the toric code model in a transverse field
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Tensor network trial states for chiral topological phases in two dimensions and a no-go theorem in any dimension
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Projective symmetry group classification of chiral spin liquids
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Kitaev Materials
• Magnetic Interaction in the Geometrically Frustrated Triangular Lattice Antiferromagnet $\mathrm{CuFe}{\mathrm{O}}_2$
• Gapless excitations in the ground state of 1T-TaS${}_2$
• A Quantum Dipolar Spin Liquid
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Global phase diagram of a doped Kitaev-Heisenberg model
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
• Heat transport study of the spin liquid candidate 1T-TaS2
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Enhanced thermal Hall effect in the square-lattice Néel state
• Intermediate gapless phase and topological phase transition of Kitaev model in a uniform magnetic field
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Gauge Theories for the Thermal Hall Effect
• Field induced quantum spin liquid with spinon Fermi surfaces in the Kitaev model
• Field-induced intermediate phase in $\alpha$-RuCl${}_3$: Non-coplanar order, phase diagram, and proximate spin liquid
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Classification and Monte Carlo study of symmetric $Z_2$ spin liquids on the triangular lattice
• The thermal Hall conductance of two doped symmetry-breaking topological insulators

Cited by in corpus (17)

• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Thermal Hall effects in quantum magnets
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Modular commutator in gapped quantum many-body systems
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Phonon Hall viscosity from phonon-spinon interactions
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Jordan-Wigner fermionization of quantum spin systems on arbitrary 2D lattices: A mutual Chern-Simons approach
• The destiny of obstructed atomic insulator under correlation
• Proposed Model of the Giant Thermal Hall Effect in Two-Dimensional Superconductors: An Extension to the Superconducting Fluctuations Regime
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field