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arXiv:cond-mat/0003118 · Physical Review Letters

Coulomb Drag between One-Dimensional Conductors

Vadim V. Ponomarenko, D. V. Averin

Published Dec 4, 2000• 32 citations
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Abstract

We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length $L$ attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in the conductors acquire energy gap $M$. At energies larger than $\ensuremath{\Gamma}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\mathrm{const}\ifmmode\times\else\texttimes\fi{}{v}_{\ensuremath{-}}\mathrm{exp}(\ensuremath{-}LM/{v}_{\ensuremath{-}})/L+{\ensuremath{\Gamma}}_{+}$, where ${\ensuremath{\Gamma}}_{+}$ is the impurity scattering rate, and, for $L>{v}_{\ensuremath{-}}/M$, where ${v}_{\ensuremath{-}}$ is the fluctuation velocity, the gap leads to an ``ideal'' drag with almost equal currents in the conductors. At low energies the drag is suppressed by coherent instanton tunneling, and the zero-temperature transconductance vanishes, indicating the Fermi-liquid behavior.

DOI
10.1103/physrevlett.85.4928

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We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length LLL attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in the conductors acquire energy gap MMM. At energies larger than \ensuremathΓ=const\ifmmode×\else\texttimes\fiv\ensuremath−exp(\ensuremath−LM/v\ensuremath−)/L+\ensuremathΓ+\ensuremath{\Gamma}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\mathrm{const}\ifmmode\times\else\texttimes\fi{}{v}_{\ensuremath{-}}\mathrm{exp}(\ensuremath{-}LM/{v}_{\ensuremath{-}})/L+{\ensuremath{\Gamma}}_{+}\ensuremathΓ=const\ifmmode×\else\texttimes\fiv\ensuremath−​exp(\ensuremath−LM/v\ensuremath−​)/L+\ensuremathΓ+​, where \ensuremathΓ+{\ensuremath{\Gamma}}_{+}\ensuremathΓ+​ is the impurity scattering rate, and, for L>v\ensuremath−/ML>{v}_{\ensuremath{-}}/ML>v\ensuremath−​/M, where v\ensuremath−{v}_{\ensuremath{-}}v\ensuremath−​ is the fluctuation velocity, the gap leads to an ``ideal'' drag with almost equal currents in the conductors. At low energies the drag is suppressed by coherent instanton tunneling, and the zero-temperature transconductance vanishes, indicating the Fermi-liquid behavior.
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