Heat transport in magnetic fields by quantum spin liquid in the organic insulators EtMe

Measurements of the low-temperature thermal conductivity collected on insulators with geometrical frustration produce important experimental facts shedding light on the nature of quantum spin liquid composed of spinons. We employ a model of strongly correlated quantum spin liquid located near the fermion condensation phase transition to analyze the exciting measurements of the low-temperature thermal conductivity in magnetic fields collected on the organic insulators ${\rm EtMe_3Sb[Pd(dmit)_2]_2}$ and $\kappa\text{-}{\rm (BEDT\text{-}TTF)_2Cu_2(CN)_3}$ . Our analysis of the conductivity allows us to reveal a strong dependence of the effective mass of spinons on magnetic fields, to detect a scaling behavior of the conductivity, and to relate it to both the spin-lattice relaxation rate and the magnetoresistivity. Our calculations and observations are in a good agreement with experimental data