(Color online) Schematic diagram of the cylindrical quantum wire with radius R 1 being connected to a coaxial nanocavity with radius R 2 and length L.
(Color online) The total transmission coefficient τ total vs the reduced frequency ω/Δ () of incoming phonons for different R 2. From up to down, these curves correspond to the radius R 2 = 10, 12, 20, and 40 nm, respectively. The top-left inset describes the detailed behavior of τ total (ω) in low frequency region. Here, we take R 1 = 10 nm and L = 10 nm. Two consecutive curves are vertically offset by a unity for clarity.
(Color online) Transmission coefficient τ0 as a function of the nanocavity radius R 2 for different incoming frequency. (a) the solid, dashed curves correspond to ω and , respectively. (b) The solid, dashed curves correspond to and , respectively. Here, we take R 1 = 10 nm and L = 10 nm.
(Color online) Transmission coefficient τ0 as a function of the nanocavity length L for different incoming frequency. Here, we take R 2 = 20 nm. The incoming frequency and other parameters are same as those in Fig. 3.
(Color online) The thermal conductance divided by the temperature T reduced by the zero-temperature universal value as a function of temperature for different radius R 2. (a)-(c) correspond to K/T of modes 0, 1, and 2, respectively, and (d) corresponds to the total K/T. The solid, dashed, dotted, and dot-dashed curves correspond to R 2 = 10, 12, 18, 20 nm. Here, we take R 1 = 10 nm and L = 10 nm. Note that in our calculation, only the first seven modes can make their contributions to the total K/T in the explored temperature scope.
(Color online) The reduced thermal conductance K/T vs the geometric parameters of the nanocavity at certain temperature. (a) Shows K/T vs R 2 with L = 10, 20, and 60 nm at T = 1 K and the inset is that at T = 4 K. (b) describes K/T vs L with R 2 = 12, 20, and 30 nm at T = 1 K and the inset is that at T = 4 K. Here, R 1 = 10 nm.
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