Charge densities and charge noise in mesoscopic conductors

Abstract

We introduce a hierarchy of density of states to characterize the charge distribution in a mesoscopic conductor. At the bottom of this hierarchy are the partial density of states which represent the contribution to the local density of states if both the incident and the out-going scattering channel is prescribed. The partial density of states play a prominent role in measurements with a scanning tunneling microscope on multiprobe conductors in the presence of current flow. The partial density of states determine the degree of dephasing generated by a weakly coupled voltage probe. In addition the partial density of states determine the frequency-dependent response of mesoscopic conductors in the presence of slowly oscillating voltages applied to the contacts of the sample. The partial density of states permit the formulation of a Friedel sum rule which can be applied locally. We introduce the off-diagonal elements of the partial density of states matrix to describe charge fluctuation processes. This generalization leads to a local Wigner-Smith life-time matrix.

10 pages, 2 figures

References in corpus (5)

• Pumped current and voltage for an adiabatic quantum pump
• Distribution of proper delay times in quantum chaotic scattering: A crossover from ideal to weak coupling
• Mesoscopic effects in tunneling between parallel quantum wires
• The charge and low-frequency response of normal-superconducting heterostructures
• Acoustoelectric pumping through a ballistic point contact in the presence of magnetic fields

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