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Superlattices provide a great platform for studying coherent transportationof low-frequency phonons, which are the main issues in mastering themanipulation of heat conduction. Studies have shown that the dominatingcharacteristics in the thermal conductivity of superlattice can be adjustedbetween wave-like and particle-like phonon properties depending on thesuperlattice period. However, the phonon coherence length and the phonon meanfree path from Umklapp processes have not been defined in one superlatticesystem, and the transition from wave-like and particle-like behavior is notclear to date despite the extensive research efforts. In this study, we useInGaO3(ZnO)m (m = integer) single crystal films with superlattice structure toexperimentally characterize the phonon coherence length as well as the Umklappmean free path in one system. According to the results, the nature of heatconduction in superlattice can change in three different ways depending on theratio between the phonon coherence length and the superlattice period. We alsodiscuss the role of the phonon characteristic lengths in the heat conduction ofsuperlattices and its anisotropy.

Anisotropic heat conduction of coherently transported phonons in InGaO3(ZnO)m single crystal films with superlattice structures