Zero-frequency anomaly in quasiclassical ac transport: Memory effects in atwo-dimensional metal with a long-range random potential or random magnetic field
J. Wilke et al., Zero-frequency anomaly in quasiclassical ac transport: Memory effects in atwo-dimensional metal with a long-range random potential or random magnetic field, PHYS REV B, 61(20), 2000, pp. 13774-13784
We study the low-frequency behavior of the ac conductivity sigma(omega) of
a two-dimensional fermion gas subject to a smooth random potential (RP) or
random magnetic field (RMF). We find a nonanalytic proportional to \omega \
correction to Re sigma, which corresponds to a 1/t(2) long-time tail in th
e velocity correlation function. This contribution is induced by return pro
cesses neglected in Boltzmann transport theory. The prefactor of this \omeg
a \ term is positive and proportional to (d/l)(2) for the RP, while it is o
f opposite sign and proportional to d/l in the weak RMF case, where l is th
e mean free path and d the disorder correlation length. This nonanalytic co
rrection also exists in the strong RMF regime, when the transport is of a p
ercolating nature. The analytical results are supported and complemented by
numerical simulations.