Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absence of finite-temperature ballistic charge transport in the 1D
  half-filled Hubbard model   Finite-temperature T>0 transport properties of integrable and nonintegrable
one-dimensional (1D) many-particle quantum systems are rather different,
showing in the metallic phases ballistic and diffusive behavior, respectively.
The repulsive 1D Hubbard model is an integrable system of wide physical
interest. For electronic densities $n\neq1$ it is an ideal conductor, with
ballistic charge transport for T larger or equal to 0. In spite that it is
solvable by the Bethe ansatz, at $n=1$ its T>0 transport properties are a
collective-behavior issue that remains poorly understood. Here we combine that
solution with symmetry to show that for on-site repulsion U>0 the charge
stiffness D (T) vanishes for T>0 in the thermodynamic limit. This absence of
finite-temperature ballistic charge transport is an exact result that clarifies
a long-standing open problem.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg