  In this work, we consider an open single level molecular junction with
electrons coupled to a single frequency phonon mode, in which the phonons are
also coupled to another heat bath. By applying a temperature gradient between
the electrical leads and investigating thermocurrent in non-linear regime, it
is shown that the environment can excite phonons which may result in either
suppression or very significant enhancement of thermocurrent, depending on the
onsite energy. Similarly, in the linear regime the effects of environment are
seen in the Seebeck coefficient.
