Electron-Electron scattering and resistivity of ballistic multimode channels

Abstract

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.

4 pages, 3 figures; published version

References in corpus (7)

• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Transport properties of partially equilibrated quantum wires
• Electron-electron interaction effects in quantum point contacts
• Transport in partially equilibrated inhomogeneous quantum wires
• Effects of Electron-Electron Scattering in Wide Ballistic Microcontacts
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Cited by in corpus (2)

• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
• Electron-electron scattering and conductivity of long multimode channels