(Color online) The quasiperiodic acoustic nanocavities connected to left and right nanowires (a) QPL: the lengths of nanocavities vary according to the Fibonacci rule, with (, 4, 5,…), Lj denotes the cavity length, D represents the length of bridge connecting two consecutive cavities, (b) QPD: the bridge lengths vary with the Fibonacci sequence, with , Dj denotes the bridge length, LC represent the cavity length. and are the transverse widths of the nanowire and nanocavity, respectively. Here, the number of nanocavities is .
(Color online) Total transmission coefficient vs reduced frequency for different numbers n of nanocavities, (a) is for QPL, (b) for QPD. The horizontal axis is scaled by the spacing between mode cutoff frequencies = . Curves a–f are for , 4, 5, 6, 10, and 17, respectively. These curves have been evenly spaced vertically for clarity. Here, nm, nm, nm.
(Color online) Individual modal transmission coefficient as a function of reduced frequency for the seventh lowest propagating modes, (a) is for QPL, (b) for QPD. Curves are for the zero to sixth modes, respectively. Here . Others are the same as those in Fig. 2.
(Color online) Total thermal conductance divided by temperature reduced by the zero-temperature universal value as a function of the reduced temperature for different numbers n: Solid curves are for QPD, dashed curves for QPL. From the up down at the right of the graph, the number of the nanocavities correspond to , 4, 5, and 10, respectively. Others are the same as those in Fig. 2.
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