Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low energy transition in spectral statistics of 2D interactingfermions   We study the level spacing statistics $P(s)$ and eigenstate properties of
spinless fermions with Coulomb interaction on a two dimensional lattice at
constant filling factor and various disorder strength. In the limit of large
lattice size, $P(s)$ undergoes a transition from the Poisson to the
Wigner-Dyson distribution at a critical total energy independent of the number
of fermions. This implies the emergence of quantum ergodicity induced by
interaction and delocalization in the Hilbert space at zero temperature.

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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph