Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids   We consider heat transport in a Luttinger liquid (LL) with weak disorder and
study the Lorenz number for this system. We start at a high-$T$ regime, and
calculate both the electrical and thermal conductivities using a memory
function approach. The resulting Lorenz number $L$ is independent of $T$ but
depends explicitly on the LL exponents. Lowering $T$, however, allows for a
renormalization of the LL exponents from their bare values by disorder, causing
a violation of the Wiedemann-Franz law. Finally, we extend the discussion to
quantum wire systems and study the wire size dependence of the Lorenz number.

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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph