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arXiv · 1011.4409

Weak localization, Aharonov-Bohm oscillations and decoherence in arrays of quantum dots

Dmitri S. Golubev·Andrew G. Semenov·Andrei D. Zaikin
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Abstract

Combining scattering matrix theory with non-linear $σ$-model and Keldysh technique we develop a unified theoretical approach enabling one to non-perturbatively study the effect of electron-electron interactions on weak localization and Aharonov-Bohm oscillations in arbitrary arrays of quantum dots. Our model embraces (i) weakly disordered conductors (ii) strongly disordered conductors and (iii) metallic quantum dots. In all these cases at $T \to 0$ the electron decoherence time is found to saturate to a finite value determined by the universal formula which agrees quantitatively with numerous experimental results. Our analysis provides overwhelming evidence in favor of electron-electron interactions as a universal mechanism for zero temperature electron decoherence in disordered conductors.

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Dmitri S. Golubev, Andrew G. Semenov, Andrei D. Zaikin. 2010-11-19. Weak localization, Aharonov-Bohm oscillations and decoherence in arrays of quantum dots. https://doi.org/10.1063/1.3518036

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