Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incoherent transport on the $\nu=2/3$ quantum Hall edge   The nature of edge state transport in quantum Hall systems has been studied
intensely ever since Halperin [1] noted its importance for the quantization of
the Hall conductance. Since then, there have been many developments in the
study of edge states in the quantum Hall effect, including the prediction of
multiple counter-propagating modes in the fractional quantum Hall regime, the
prediction of edge mode renormalization due to disorder, and studies of how the
sample confining potential affects the edge state structure (edge
reconstruction), among others. In this paper, we study edge transport for the
$\nu_{\text{bulk}}=2/3$ edge in the disordered, fully incoherent transport
regime. To do so, we use a hydrodynamic approximation for the calculation of
voltage and temperature profiles along the edge of the sample. Within this
formalism, we study two different bare mode structures with tunneling: the
original edge structure predicted by Wen [2] and MacDonald [3], and the more
complicated edge structure proposed by Meir [4], whose renormalization and
transport characteristics were discussed by Wang, Meir and Gefen (WMG) [5]. We
find that in the fully incoherent regime, the topological characteristics of
transport (quantized electrical and heat conductance) are intact, with finite
size corrections which are determined by the extent of equilibration. In
particular, our calculation of conductance for the WMG model in a double QPC
geometry reproduce conductance results of a recent experiment by R. Sabo, et
al. [17], which are inconsistent with the model of MacDonald. Our results can
be explained in the charge/neutral mode picture, with incoherent analogues of
the renormalization fixed points of Ref. [5]. Additionally, we find diffusive
$(\sim1/L)$ conductivity corrections to the heat conductance in the fully
incoherent regime for both models of the edge.

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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: math
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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: supr-con
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The categories of this paper are: nlin