Singularities of the Heat Conductivity in Thin Dielectric Slabs
Usually charge transport in thin metallic slabs (i.e., in macroscopic samples much thinner than the electron mean free path (m.f.p.)) is considered in the relaxation time approximation1 However, for thin slabs we have shown2 that accounting for the gain term of the collision integral for impurity scattering does not alter the two leading terms of the asymptotic expansion3,4 of the conductivity coefficient. It seems interesting to consider a similar question for the low-temperature heat conductivity of a thin slab of a dielectric. In this case, phonons are the main heat carriers.
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