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We consider a mass-asymmetric polarized Fermi system in the presence ofHartree-Fock (HF) potentials. We concentrate on the BCS regime with variousinteraction strengths and numerically obtain the allowed values of the chemicaland HF potentials, as well as the mass ratio. The functional dependence of theheat conductivity of the N-SF interface on relevant physical parameters, namelythe temperature, the mass ratio, and the interaction strength, is obtained. Inparticular, we show that the interface conductivity starts to drop withdecreasing temperature at the temperature, $T_{\text{m}}$, where the meankinetic energy of the particles is just sufficient to overcome the SF gap. Weobtain $T_{\text{m}}$ as a function of the mass ratio and the interactionstrength. The variation of the heat conductivity, at fixed temperature, withthe HF potentials and the imbalance chemical potential is also obtained.Finally, because the range of relevant temperatures increases for larger valuesof the mass ratio, we consider the $^6\text{Li}$-$^{40}\text{K}$ mixtureseparately by taking the temperature dependence of the pair potential intoaccount.

Dependence of interface conductivity on relevant physical parameters in polarized Fermi mixtures