Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Entropy of Random Fractional Quantum Hall Systems   The entanglement entropy of the $\nu = 1/3$ and $\nu = 5/2$ quantum Hall
states in the presence of short range random disorder has been calculated by
direct diagonalization. A microscopic model of electron-electron interaction is
used, electrons are confined to a single Landau level and interact with long
range Coulomb interaction. For very weak disorder, the values of the
topological entanglement entropy are roughly consistent with expected
theoretical results. By considering a broader range of disorder strengths, the
fluctuation in the entanglement entropy was studied in an effort to detect
quantum phase transitions. In particular, there is a clear signature of a
transition as a function of the disorder strength for the $\nu = 5/2$ state.
Prospects for using the density matrix renormalization group to compute the
entanglement entropy for larger system sizes are discussed.

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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio