Geometrical dependence of decoherence by electronic interactions in a GaAs/GaAlAs square network

Abstract

We investigate weak localization in metallic networks etched in a two dimensional electron gas between $25$mK and $750$mK when electron-electron (e-e) interaction is the dominant phase breaking mechanism. We show that, at the highest temperatures, the contributions arising from trajectories that wind around the rings and trajectories that do not are governed by two different length scales. This is achieved by analyzing separately the envelope and the oscillating part of the magnetoconductance. For $T\gtrsim 0.3$K we find $\Lphi^\mathrm{env}\propto{T}^{-1/3}$ for the envelope, and $\Lphi^\mathrm{osc}\propto{T}^{-1/2}$ for the oscillations, in agreement with the prediction for a single ring \cite{LudMir04,TexMon05}. This is the first experimental confirmation of the geometry dependence of decoherence due to e-e interaction.

arXiv commentLaTeX, 5 pages, 4 eps figures

References in corpus (7)

• Dephasing of Electrons in Mesoscopic Metal Wires
• Persistent currents on graphs
• Interaction-induced dephasing of Aharonov-Bohm oscillations
• Direct measurement of the phase coherence length in a GaAs/GaAlAs square network
• Dephasing due to electron-electron interaction in a diffusive ring
• Non exponential quasiparticle decay and phase relaxation in low dimensional conductors
• Effect of connecting wires on the decoherence due to electron-electron interaction in a metallic ring

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