Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study

Abstract

Motivated by recent transport measurements in high-$T_c$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons. Specifically, different Schwinger boson mean-field ansätze for the Heisenberg antiferromagnet on the square lattice are analyzed. We allow for both Dzyaloshinskii-Moriya interactions, and additional terms associated with scalar spin chiralities that break time-reversal and reflection symmetries, but preserve their product. It is shown that these scalar spin chiralities, which can either arise spontaneously or are induced by the orbital coupling of the magnetic field, can lead to spinon bands with nontrivial Chern numbers and significantly enhanced thermal Hall conductivity. Associated states with zero-temperature magnetic order, which is thermally fluctuating at any $T>0$, also show a similarly enhanced thermal Hall conductivity.

arXiv comment25 pages, 13 figures

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Cited by in corpus (36)

• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Thermal Hall conductivity in the cuprate Mott insulators Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Thermal Hall effects in quantum magnets
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Enhanced thermal Hall effect in the square-lattice Néel state
• Universal behavior of the thermal Hall conductivity
• Charged Defects and Phonon Hall Effects in Ionic Crystals
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Extrinsic phonon thermal Hall transport from Hall viscosity
• Thermal Transport for Probing Quantum Materials
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Gauge Theories for the Thermal Hall Effect
• Phonon Hall viscosity from phonon-spinon interactions
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Impurity-induced phonon thermal Hall effect in the antiferromagnetic phase of Sr2IrO4
• Continuous control of classical-quantum crossover by external high pressure in the coupled chain compound CsCuCl${}_3$
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Majorana chiral spin liquid in Mott insulating cuprates
• Non-linear magnon transport in a bilayer van der Waals antiferromagnets
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Magnon Hall effect in antiferromagnetic lattices
• Role of magnetic ions in the thermal Hall effect of the paramagnetic insulator TmVO${}_4$
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Floating topological phases
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Density Wave Mediated Dzyaloshinskii-Moriya Interactions
• Intrinsic Thermal Hall Effect in Mott Insulators
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature