Thermal transport across nanosized constrictions is calculated considering wave effects. It is shown that Rayleigh-type phonon diffraction reduces thermal transport across nanosized constrictions at low temperatures. We show that for αT/υ_(Debye) < 0.01 × 10~(-9) K s, where a is the radius of the constriction, T the temperature, and υ_(Debye) the Debye velocity of the solid material, diffraction effects are important.
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