Journal
PHYSICAL REVIEW B
Volume 61, Issue 20, Pages 13774-13784Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.61.13774
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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 the velocity correlation function. This contribution is induced by return processes neglected in Boltzmann transport theory. The prefactor of this \omega \ term is positive and proportional to (d/l)(2) for the RP, while it is of opposite sign and proportional to d/l in the weak RMF case, where l is the mean free path and d the disorder correlation length. This nonanalytic correction also exists in the strong RMF regime, when the transport is of a percolating nature. The analytical results are supported and complemented by numerical simulations.
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