Finite frequency quantum noise in an interacting mesoscopic conductor

Details Finite frequency quantum noise in an interacting mesoscopic conductor Finite frequency quantum noise in an interacting mesoscopic conductor

2005-08-19

arxiv.org/abs/cond-mat/0508450v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We present a quantum calculation based on scattering theory of the frequency dependent noise of current in an interacting chaotic cavity. We include interactions of the electron system via long range Coulomb forces between the conductor and a gate with capacitance $C$. We obtain explicit results exhibiting the two time scales of the problem, the cavity's dwell time $\tau_D$ and the $RC$-time $\tau_C$ of the cavity {\em vis \`a vis} the gate. The noise shows peculiarities at frequencies of the order and exceeding the inverse charge relaxation time $\tau^{-1} = \tau^{-1}_D+\tau^{-1}_C $.

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