Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-11-19
Fiz. Nizk. Temp. (Kharkov), 36, 1163 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
19 pages, 13 figures, invited paper, published in a special issue of Fiz. Nizk. Temp. (Kharkov) dedicated to Prof. Igor Kulik
Scientific paper
Combining scattering matrix theory with non-linear $\sigma$-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.
Golubev Dmitri S.
Semenov Andrew G.
Zaikin Andrei D.
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