Abstract
The static and dynamical behaviors of an acoustic polaron in a quasi-one-dimensional branching-off system are studied numerically by employing Su–Schrieffer–Heeger's model extended to involve the branching-off structure. At the branching-off site, an electron is found to feel an attractive potential with the strength equal to the transfer integral between one-dimensional neighboring sites. When an acoustic polaron prepared at a site sufficiently apart from the branching-off site is set in motion by an external force towards the branching site, it is totally reflected, totally trapped or partially reflected and partially trapped at the branching site, depending on the extent of the polaron just before it reaches the branching site. It is argued that this behavior is essentially the same as that seen in a one-dimensional system with a single-site-type attractive potential. When the effective attractive potential at the branching site is cancelled out by a real repulsive site-potential, the polaron moving to...
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