Electron-Electron scattering and resistivity of ballistic multimode channels

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 3 figures; published version

Scientific paper

10.1103/PhysRevB.85.165404

We show that electron--electron scattering gives a positive contribution to
the resistivity of ballistic multimode wires whose width is much smaller than
their length. This contribution is not exponentially small at low temperatures
and therefore may be experimentally observable. It scales with temperature as
$T^2$ for three-dimensional channels and as $T^{5/2}$ for two-dimensional ones.

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