We have introduced a theory for the calculation of thermodynamic characteristics for some
characteristic nanostructures (ultrathin films and superlattices), using the adapted method of twotime
temperature Green's functions. In this paper, we have determined the coefficient of thermal
conductivity using the definition of free energy and then compared their temperature dependence
to the thermal conductivity behavior of the bulk structures. For the observed nanostructures, the
thermal conductivity coefficient values are almost equal at low temperatures, but at the same time,
significantly lower than the bulk sample values. That result could be useful for the possible
achievement of better superconducting conditions in the observed compound nanostructures.
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