2010
DOI: 10.1063/1.3518036
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Weak localization, Aharonov-Bohm oscillations, and decoherence in arrays of quantum dots

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 → 0 the electron decoherence time is found to saturate to a finite value… Show more

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Cited by 4 publications
(2 citation statements)
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“…The competing behavior between WAL and WL provides strong evidence for the quantum mechanical scattering of electrons due to QDs. [ 35,36 ] In Figure 3d, a short phase‐coherence length ( L ϕ ) of ≈3nm is observed at 4 and 5 K via the fitting of WAL by use of Hikami–Larkin–Nagaoka theory. [ 37 ] The scale of L ϕ is about the same size as that of QDs diameter, which indicates that the quantum interference of electron waves in QDs exists in the film.…”
Section: Resultsmentioning
confidence: 99%
“…The competing behavior between WAL and WL provides strong evidence for the quantum mechanical scattering of electrons due to QDs. [ 35,36 ] In Figure 3d, a short phase‐coherence length ( L ϕ ) of ≈3nm is observed at 4 and 5 K via the fitting of WAL by use of Hikami–Larkin–Nagaoka theory. [ 37 ] The scale of L ϕ is about the same size as that of QDs diameter, which indicates that the quantum interference of electron waves in QDs exists in the film.…”
Section: Resultsmentioning
confidence: 99%
“…In the literature in 1980s, the saturation behavior of τ 0 ϕ was often ascribed to spin-spin scattering due to the presence of a tiny amount of magnetic impurity in the sample [52][53][54]. Recently, the non-magnetic origins, such as non-equilibrium dephasing [55], e-e interaction [56,57], and specific structural defect [58][59][60] were proposed to explain the saturation behavior of τ 0 ϕ . In this study, we have intentionally focused on T ≥ 4 K to minimize the influence of 1/τ 0 ϕ on extracting A S ee and A L ee .…”
mentioning
confidence: 99%