Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Aharonov-Bohm period analysis of strongly correlated electron
  systems   The `extended Aharonov-Bohm (AB) period' recently proposed by Kusakabe and
Aoki [J. Phys. Soc. Jpn (65), 2772 (1996)] is extensively studied numerically
for finite size systems of strongly correlated electrons. While the extended AB
period is the system length times the flux quantum for noninteracting systems,
we have found the existence of the boundary across which the period is halved
or another boundary into an even shorter period on the phase diagram for these
models. If we compare this result with the phase diagram predicted from the
Tomonaga-Luttinger theory, devised for low-energy physics, the halved period
(or shorter periods) has a one-to-one correspondence to the existence of the
pairing (phase separation or metal-insulator transition) in these models. We
have also found for the t-J model that the extended AB period does not change
across the integrable-nonintegrable boundary despite the totally different
level statistics.

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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math