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We study ballistic thermal transport in Heisenberg spin chain withnearest-neighbor ferromagnetic interactions at low temperatures. Explicitexpressions for transmission coefficients are derived for thermal transport ina periodic spin chain of arbitrary junction length by a spin-wave model. Ouranalytical results agree very well with the ones from nonequilibrium Green'sfunction method. Our study shows that the transmission coefficient oscillateswith the frequency of thermal wave. Moreover, the thermal transmission showsstrong dependence on the intrachain coupling, the length of the spin chain, andthe external magnetic field. The results demonstrate the possibility ofmanipulating spin-wave propagation and magnetothermal conductance in thespin-chain junction by adjusting the intrachain coupling and/or the externalmagnetic field.

Ballistic magneto-thermal transport in a Heisenberg spin chain at low temperatures