Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization of interacting fermions in the Aubry-Andre' model   We consider interacting electrons in a one dimensional lattice with an
incommensurate Aubry-Andre' potential in the regime when the single-particle
eigenstates are localized. We rigorously establish persistence of ground state
localization in presence of weak many-body interaction, for almost all the
chemical potentials. The proof uses a quantum many body extension of methods
adopted for the stability of tori of nearly integrable hamiltonian systems, and
relies on number-theoretic properties of the potential incommensurate
frequency.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph