“…Examples of these features include that: i) the thermal conductivity could deviate from Fourier's law [1][2][3][4][5], ii) a crossover is observed from ballistic into diffusive transport regimes [6,7], or from nanoto macro-scale behaviors [8,9], iii) the thermal conductivity could even increase under channel width confinement [10,11], iv) band mismatch under extreme confinement could result to phonon localization and 'effective transmission bandgaps' [12], v) heat transport could be below the Casimir or the amorphous limits, and many more [13,14]. Several interesting device concepts have also emerged recently in the area of phononics, which attempt to use heat to perform transistor action [15], create heat rectifiers [16], engineer the sound velocities and phonon dispersions, etc. [13,17,18].…”