Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum decoherence of interacting electrons in arrays of quantum dots
  and diffusive conductors   We develop a new unified theoretical approach enabling us to
non-perturbatively study the effect of electron-electron interactions on weak
localization 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
determined by the universal formula $\tau_{\varphi 0}\sim g\tau_D/\ln
(E_C/\delta)$, where $g$, $\tau_D$, $E_C$ and $\delta$ are respectively
dimensionless conductance, dwell time, charging energy and level spacing of a
single dot. In the case (i) this formula yields $\tau_{\varphi 0}\propto
D^3/\ln D$ ($D$ is the diffusion coefficient) and matches with our previous
quasiclassical results [D.S. Golubev, A.D. Zaikin, Phys. Rev. Lett. 81 (1998)
1074], while in the cases (ii) and (iii) it illustrates new physics not
explored earlier. A detailed comparison between our theory and numerous
experiments provides an overwhelming evidence that zero temperature electron
decoherence in disordered conductors is universally caused by electron-electron
interactions rather than by magnetic impurities.

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The categories of this paper are: math
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
20
The categories of this paper are: acc-phys