Schematic diagram of a two-dimensional quantum structure with an acoustic nanocavity lying in two narrow constrictions. Two leads are perfectly attached the hot and cold baths with temperatures and , respectively.
The total transmission coefficient as a function of the reduced frequency . Curves b, c, and d correspond to the transverse width , 20, and 30 nm, respectively; curve a is for the perfect quantum wire. The top-left inset shows the detailed behavior in low frequency region. Here, we take , and . Two consecutive curves are vertically offset by a unity for clarity.
(a) and (b) describe the transmission coefficient and as a function of the transverse width four three different incident frequency. The solid, dashed, and dotted curve corresponds to , and with being the cutoff frequency of the mth mode, respectively. Other parameters are the same as those in Fig. 2.
The thermal conductance divided by temperature K/T as a function of the reduced temperature . The left column denotes , and the right column is for . (a0) and (b0), (a1) and (b1) represent the thermal conductance for the zeroth and first mode, respectively; and (a) and (b) is for the total thermal conductance. The solid, dashed, and dotted curve corresponds to , 20, and 30 nm, respectively. Other parameters are the same as those in Fig. 2.
The total reduced thermal conductance K/T vs for three certain temperatures. (a)-(c) correspond to T = 0.5 K, 1 K, 4 K, respectively. Here, we fix L = 70 nm and .
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