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We study the origin of Lorentz force on the spinons in a U(1) spin liquid. Weare inspired by the previous observation of gauge field correlation in thepairwise spin correlation using the neutron scattering measurement when theDzyaloshinskii-Moriya interaction intertwines with the lattice geometry. Weextend this observation to the Lorentz force that exerts on the (neutral)spinons. The external magnetic field, that polarizes the spins, effectivelygenerates an internal U(1) gauge flux for the spinons and twists the spinonmotion through the Dzyaloshinskii-Moriya interaction. Such a mechanism for theemergent Lorentz force differs fundamentally from the induction of the internalU(1) gauge flux in the weak Mott insulating regime from the chargefluctuations. We apply this understanding to the specific case of spinon metalson the kagome lattice. Our suggestion of emergent Lorentz force generation andthe resulting topological thermal Hall effect may apply broadly to othernon-centrosymmetric spin liquids with Dzyaloshinskii-Moriya interaction. Wediscuss the relevance with the thermal Hall transport in kagome materialsvolborthite and kapellasite.

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