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.

20 pages, 9 figures

References in corpus (30)

• Non-Abelian Anyons and Topological Quantum Computation
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• 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
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• 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
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Robustness of a perturbed topological phase
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Topological field theory and thermal responses of interacting topological superconductors
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• 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${}_2$
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
• Heat transport study of the spin liquid candidate 1T-TaS2
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Classification and Monte Carlo study of symmetric $Z_2$ spin liquids on the triangular lattice

Cited by in corpus (2)

• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field