Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons

Abstract

We study the origin of Lorentz force on the spinons in a U(1) spin liquid. We are inspired by the previous observation of gauge field correlation in the pairwise spin correlation using the neutron scattering measurement when the Dzyaloshinskii-Moriya interaction intertwines with the lattice geometry. We extend this observation to the Lorentz force that exerts on the (neutral) spinons. The external magnetic field, that polarizes the spins, effectively generates an internal U(1) gauge flux for the spinons and twists the spinon motion through the Dzyaloshinskii-Moriya interaction. Such a mechanism for the emergent Lorentz force differs fundamentally from the induction of the internal U(1) gauge flux in the weak Mott insulating regime from the charge fluctuations. We apply this understanding to the specific case of spinon metals on the kagome lattice. Our suggestion of emergent Lorentz force generation and the resulting topological thermal Hall effect may apply broadly to other non-centrosymmetric spin liquids with Dzyaloshinskii-Moriya interaction. We discuss the relevance with the thermal Hall transport in kagome materials volborthite and kapellasite.

small clarification

References in corpus (27)

• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Observation of the Magnon Hall Effect
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Properties of an algebraic spin liquid on the kagome lattice
• Algebraic spin liquid as the mother of many competing orders
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Quantization of the thermal Hall conductivity at small Hall angles
• 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${}_2$
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Heat transport study of the spin liquid candidate 1T-TaS2
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• Coupled frustrated quantum spin-1/2 chains with orbital order in volborthite Cu3V2O7(OH)2(H2O)2
• The family of topological Hall effects for electrons in skyrmion crystals
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid

Cited by in corpus (16)

• Contrasting lattice geometry dependent versus independent quantities: ramifications for Berry curvature, energy gaps, and dynamics
• Thermal Hall effects in quantum magnets
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Universal behavior of the thermal Hall conductivity
• Topological magnetic excitations
• Kondo screening in a charge-insulating spinon metal
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Some experimental schemes to identify quantum spin liquids
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Thermal Properties and Instability of a $U(1)$ Spin Liquid on the Triangular Lattice