Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional Crossover of the Dephasing Time in Disordered Mesoscopic
  Rings   We study dephasing by electron interactions in a small disordered quasi-one
dimensional (1D) ring weakly coupled to leads. We use an influence functional
for quantum Nyquist noise to describe the crossover for the dephasing time
$\Tph (T)$ from diffusive or ergodic 1D ($ \Tph^{-1} \propto T^{2/3}, T^{1}$)
to 0D behavior ($\Tph^{-1} \propto T^{2}$) as $T$ drops below the Thouless
energy. The crossover to 0D, predicted earlier for 2D and 3D systems, has so
far eluded experimental observation. The ring geometry holds promise of meeting
this longstanding challenge, since the crossover manifests itself not only in
the smooth part of the magnetoconductivity but also in the amplitude of
Altshuler-Aronov-Spivak oscillations. This allows signatures of dephasing in
the ring to be cleanly extracted by filtering out those of the leads.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
2
The categories of this paper are: math
14
The categories of this paper are: math-ph