Noise properties and ac conductance of mesoscopic diffusive conductors with screening

Abstract

A theory of non-equilibrium (``shot'') noise and high frequency conductance in diffusive mesoscopic conductors with screening is presented. Detailed results are obtained for two simple geometries, for both large and short electron-electron scattering length $l_{ee}$, at frequencies of the order of the inverse Thouless time $1/{\tau }_T$. The conductance and the noise are found to exhibit significant frequency dependence. For $L\ll l_{ee}$, the high-frequency ($\omega {\tau }_T\gg 1$) shot noise spectral density $S_I(\omega )$ approaches a finite value between $2eI/3$ and $2eI$, depending on the screening properties of the system, with temperature corrections to $S_I(\omega )$ being linear in $T$. However, when $L\gg l_{ee}$, $S_I(\omega )$ grows as ${\omega }^{1/4}$ (at T=0), is not upper-bound by $2eI$, and has a temperature-dependent component quadratic in $T$. As a result, measurements of $S_I(\omega ,T)$ can be utilized as a probe of the strength of electron-electron scattering.

14 pages, 7 figures

References in corpus (3)

• Shot Noise Current-Current Correlations in Multi-Terminal Diffusive Conductors
• Long-Range Coulomb Interaction and Frequency Dependence of Shot Noise in Mesoscopic Diffusive Contacts
• Effect of screening on shot noise in diffusive mesoscopic conductors

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