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Tailoring thermal properties with nanostructured materials can be of vitalimportance for many applications. Generally classical phonon size effects areemployed to reduce the thermal conductivity, where strong phonon scattering bynanostructured interfaces or boundaries can dramatically supress the heatconduction. When these boundaries or interfaces are arranged in a periodicpattern, coherent phonons may have interference and modify the phonondispersion, leading to dramatically reduced thermal conductivity. Such coherentphonon transport has been widely studied for superlattice films and recentlyemphasized for periodic nanoporous patterns. Although the wave effects havebeen proposed for reducing the thermal conductivity, more recent experimentalevidence shows that such effects can only be critical at an ultralowtemperature, i.e., around 10 K or below. At room temperature, the impactedphonons are mostly restricted to hypersonic modes that contribute little to thethermal conductivity. In this review, the theoretical and experimental studiesof periodic porous structures are summarized and compared. The generalapplications of periodic nanostructured materials are further discussed.

Phonon Transport within Periodic Porous Structures -- From Classical Phonon Size Effects to Wave Effects