  A two-site nanostructure (e.g, a "molecule") bridging two conducting leads
and connected to a phonon bath is considered. The two relevant levels closest
to the Fermi energy are connected each to its lead. The leads have slightly
different temperatures and chemical potentials and the nanos- tructure is also
coupled to a thermal (third) phonon bath. The 3 x 3 linear transport
("Onsager") matrix is evaluated, along with the ensuing new figure of merit,
and found to be very favorable for thermoelectric energy conversion.
