
June 26, 2015 10:49 PSP Book - 9in x 6in 10-Kasper-Moth-Poulsen-c10
Molecular Junctions 309
The relation for the heat current due to phonons from Eq. 10.14
is now:
J
L→R, p
=
i
∞
0
dω
2π
ω
i
τ
p
(ω
i
)(n
L
− n
R
) (10.25)
where the subscript p indicates that only transport due to phonons
is considered. As always in the case of phonons, we are summing
over all polarizations and integrating for all frequencies where τ
p
(ω)
denotes the phonon transmission function at a particular frequency.
There is no concept of the Fermi energy here and transmission
through all frequency modes must be considered.
10.4.1 Thermoelectricity
For a molecular junction, when the energy deriv