Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-linear $I(V)$ Characteristics of Luttinger Liquids and Gated Hall
  Bars   Non-linear current voltage characteristics of a disordered Luttinger liquid
are calculated using a perturbative formalism. One finds non-universal power
law characteristics of the form $I(V)\sim V^{1/(2\tilde{g}-1)}$ which is valid
both in the superfluid phase when $I$ is small and also in the insulator phase
when $I$ is large. Mesoscopic voltage fluctuations are also calculated. One
finds $\Var(\Delta V) \sim I^{4\tilde{g}-3}$. Both the $I(V)$ characteristic
and the voltage fluctuations exhibit universal power law behavior at the
superfluid insulator transition where $\tilde{g}=\tot$. The possible
application of these results to the non-linear transport properties of gated
Hall bars is discussed.

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The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph