Semiclassical Analysis of the Conductance of Mesoscopic Systems

Details Semiclassical Analysis of the Conductance of Mesoscopic Systems Semiclassical Analysis of the Conductance of Mesoscopic Systems

1995-02-16

arxiv.org/abs/cond-mat/9502070v1

Physics

Condensed Matter

11 pages, using RevTeX, no figures.

Scientific paper

10.1103/PhysRevLett.75.2750

The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer than $O( \log \hbar^{-1} )$ give the dominant contributions, i.e. the limit $\hbar \rightarrow 0$ is not implied. For example, the result for the weak localization correction to the dimensionless conductance of a chain of $k$ classically ergodic scatterers connected in series is $-{1 \over 3} [ 1 - (k+1)^{-2} ]$, interpolating between the ergodic ($k = 1$) and the diffusive ($k \rightarrow \infty$) limits.

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