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Structure of a double-stub quantum wire.
Thermal conductance divided by temperature, , which is reduced by the zero-temperature universal value , as a function of the reduced temperature . (a) is for the stress-free boundary. Curve a corresponds to the total , which includes the contributions of all the propagation modes. By our calculations, however, only the first six modes can make their contributions to the total thermal conductance for the explored temperature scope. Curves b–e correspond to of modes 0–3, respectively. (b) is for the hard-wall boundary: curve a represents the total including the contributions from modes 1–6, and curves b–e correspond to of modes 1–4, respectively. Here, we take , , and .
The thermal conductance as a function of the reduced temperature for different : (a) and (b) correspond to the stress-free and hard-wall boundary conditions, respectively. Dotted, dot-dashed, solid, and dashed curves correspond to , 8, 15, and , respectively. Here, we take , , and .
The thermal conductance as a function of the width for different temperature for the stress-free-boundary condition: (a)–(c) correspond to the reduced temperatures , 0.1739, and 0.3478, respectively. The solid curve represents the total , and the dotted curve is that of zero acoustic mode. When , only the zero mode can be excited, and the total is factually that of zero mode. When , mode 1 has also been excited. As the temperature is increased to 0.3478, mode 2 is also excited. Here, we take , , and .
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