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Mesoscopic phonon transmission through a nanowire-bulk contact

Mesoscopic phonon transmission through a nanowire-bulk contact

We calculate the frequency-dependent mesoscopic acoustic phonon transmission probability through the abrupt junction between a semi-infinite, one-dimensional cylindrical quantum wire and a three-dimensional bulk insulator, using a perturbative technique that is valid at low frequency. The system is described using elasticity theory, and traction-free boundary conditions are applied to all …