Thermal transport in the one-dimensional spin-1/2 anisotropic antiferromagnet in a staggered magnetic field

►The study of the thermal conductivity in the one-dimensional Heisenberg antifer-romagnet with a staggered magnetic field was presented. ►Thermal Drude weight Dth(T) was calculated at the low energy limit using bosonization. ►Dth(T) was cal-culated using the mean-field approach. ►The results for Dth(T) using the mean-field approach agree with the bosonization results at low temperature T. ►At large T, the results of the mean field approach are only qualitative.