Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent transport of interacting electrons through a single scatterer   Using the self-consistent Hartree-Fock method, we calculate the persistent
current of weakly-interacting spinless electrons in a one-dimensional ring
containing a single delta-barrier. We find that the persistent current decays
with the system length (L) asymptotically like $I \propto L^{-1-\alpha}$, where
$\alpha > 0$ is the power depending only on the electron-electron interaction.
We also simulate tunneling of the weakly-interacting one-dimensional electron
gas through a single delta-barrier in a finite wire biased by contacts. We find
that the Landauer conductance decays with the system length asymptotically like
$L^{-2\alpha}$. The power laws $L^{-1-\alpha}$ and $L^{-2\alpha}$ have so far
been observed only in correlated models. Their existence in the Hartree-Fock
model is thus surprising.

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: physics