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Using perturbed Bogoliubov equations, we study the linear response to a weakorbital magnetic field of the heat conductivity of the normal-superfluidinterface of a polarized Fermi gas at sufficiently low temperature. We considerthe various scattering regions of the BCS regime and analytically obtain thetransmission coefficients and the heat conductivity across the interface in anarbitrary weak orbital field. For a definite choice of the field, we considervarious values of the scattering length in the BCS range and numerically obtainthe allowed values of the average and species-imbalance chemical potentials.Thus, taking Andreev reflection into account, we describe how the heatconductivity is affected by the field and the species imbalance. In particular,we show that the additional heat conductivity due to the orbital fieldincreases with the species imbalance, which is more noticeable at highertemperatures. Our results indicate how the heat conductivity may be controlled,which is relevant to sensitive magnetic field sensors/regulators at theinterface.

Linear response of heat conductivity of normal-superfluid interface of a polarized Fermi gas to orbital magnetic field