Abstract
We investigate the thermal transport in a special ballistic system, the dielectric T-shaped quantum wire. It is found that the transmission coefficient of phonons exhibits the oscillation behavior similar to that of electrons. Due to the wide energy range involved in thermal transport, thermal conductance changes smoothly with temperature, which is different from the electrical conductance. We find that thermal conductance is a monotonic function of temperature at any system. In the low temperature limit, thermal conductance tends to $\frac{{\ensuremath{\pi}}^{2}{k}_{B}^{2}T}{3h}$ against all system parameters, even though the transmission coefficient is not unity.
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