We have implemented a fermion-boson determinantal method
(R. Blankenbecler, D.J. Scalapino, and R.L. Sugar, Phys. Rev.
D 24, 2278 (1981)) and applied it to models of alkali-doped
fullerenes and transition metal compounds. We calculate the
current-current correlation function and, via a maximum entropy method,
the optical conductivity, which gives the resistivity. The reasons
for the exceptionally short
mean-free path at high temperatures of the alkali-doped fullerides are
studied Nature 405 , 1027 (2000).
We have furthermore studied resistivity saturation of transition
metal compounds and obtained a quantum mechanical derivation of
the Ioffe-Regel condition
Phys. Rev. Lett. 87, 266601 (2001),
Phys. Rev. B 66 ,
205105 (2002). This makes it possible to study saturation as well
as lack of saturation for different
classes of materials.
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