Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Umklapp Scattering on the Conductance in Quantum Wires   We investigate the system-size dependence as well as the temperature
dependence of the conductance in 1D electron systems, paying particular
attention to the effect of Umklapp scattering. By taking into account the
renormalization of the external potential due to electron-electron interaction,
the correction to the conductance, 2e^2/h, due to Umklapp scattering is
estimated perturbatively. The Tomonaga-Luttinger liquid parameter appears in
the conductance via the system-size and temperature dependence.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph