Linear-response theory of Coulomb drag in coupled electron systems

Karsten Flensberg, Ben Yu-Kuang Hu, Antti-Pekka Jauho, Jari M. Kinaret

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    Abstract

    We report a fully microscopic theory for the transconductivity, or, equivalently, the momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear-response formalism and our main formal result expresses the transconductivity in terms of two fluctuation diagrams, which are topologically related but not equivalent to the Aslamazov-Larkin diagrams known from superconductivity. Results reported elsewhere are shown to be special cases of our general expression; specifically, we recover the Boltzmann equation result in the semiclassical clean limit and the memory function results for dirty systems with constant impurity scattering rates. Furthermore, we show that for energy-dependent relaxation times, the final result is not expressible in terms of standard density-response functions. Other results include (i) at T = 0, the frequency dependence of the transfer rate is found to be proportional to Omega and Omega(2) for frequencies below and above the impurity scattering rate, respectively, and (ii) the weak localization correction to the transconductivity is given by delta sigma(21)(WL)proportional to delta sigma(11)(WL) +delta sigma(22)(WL).
    Original languageEnglish
    JournalPhysical Review B
    Volume52
    Issue number20
    Pages (from-to)14761-14774
    ISSN2469-9950
    DOIs
    Publication statusPublished - 1995

    Bibliographical note

    Copyright (1995) American Physical Society.

    Keywords

    • TRANSPORT
    • FIELD
    • MUTUAL DRAG
    • HETEROSTRUCTURES
    • 2D
    • GAS LAYERS
    • SPATIALLY SEPARATED ELECTRON

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