Abstract
A theoretical discussion of the temperature and magnetic-field dependence of the contribution to the thermal boundary conductance (Kapitza conductance) from the interaction between liquid-${\mathrm{He}}^{3}$ nuclear spins and electron spins in a magnetic solid is presented for the case where $T$ lies below the ordering temperature ${T}_{0}$ of the solid. Our calculations apply to the temperature range $3\ensuremath{\le}T\ensuremath{\le}100$ mK, where the ${\mathrm{He}}^{3}$ may be regarded as a normal Fermi fluid. We consider three cases: (i) a dilute alloy with magnetic impurities which experience random internal fields, (ii) an array of ferromagnetically aligned spins arranged on a crystal lattice, and (iii) a ferromagnetically aligned, but spatially disordered, array of spins. We also examine the presently available data on the magnetic contribution to ${R}_{K}$ in the light of the theoretical results.
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