Acoustic phonon selective transport and non-integer quantized thermal conductance in a three-dimensional asymmetric quantum structure

The acoustic phonon transport and thermal conductance in a three-dimensional asymmetric quantum structure at low temperatures are studied. The results show that the acoustic phonon modes display the selective transmission behavior, namely the phonon modes with different index could transport into different channels selectively. Non-integer quantized thermal conductance behavior could be observed in such structure. A brief analysis of these results is given.