  Thermoelectric properties of a two-level molecule attached to the metallic
electrodes are analyzed using the equation of motion technique within the Green
function formalism. Results show that the electrical conductance is strongly
dependent on the electron and phonon temperatures and the electron-phonon
coupling strength. In addition, it is observed that the thermal conductance
peaks in the electron-hole symmetry points are vanished in the presence of the
strong electron-phonon interaction. It is also found that the figure of merit
is strongly suppressed in the strong electron-phonon interaction. The violation
of the Wiedemann-Franz law is also observed coming from the Coulomb
interactions.
