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Measurements of the low-temperature thermal conductivity collected oninsulators with geometrical frustration produce important experimental factsshedding light on the nature of quantum spin liquid composed of spinons. Weemploy a model of strongly correlated quantum spin liquid located near thefermion condensation phase transition to analyze the exciting measurements ofthe low-temperature thermal conductivity in magnetic fields collected on theorganic insulators EtMe3Sb[Pd(dmit)_2]2 and \kappa-(BEDT-TTF)2Cu2(CN)3. Ouranalysis of the conductivity allows us to reveal a strong dependence of theeffective mass of spinons on magnetic fields, to detect a scaling behavior ofthe conductivity, and to relate it to both the spin-lattice relaxation rate andthe magnetoresistivity. Our calculations and observations are in a goodagreement with experimental data.

Heat transport in magnetic fields by quantum spin liquid in the organic insulators EtMe3Sb[Pd(dmit)2]2 and \kappa-(BEDT-TTF)2Cu2(CN)3