Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase diagram of three-leg ladders at strong coupling along the rungs   A phase diagram of the t-J three-leg ladder as a function of hole dopping is
derived in the limit where the coupling parameters along the rungs, $t_{\perp}$
and $J_{\perp}$, are taken to be much larger than those along the legs,
$t_{||}$ and $J_{||}$ At large exchange coupling along the rungs,
$J_{\perp}/t_{\perp}> 3 / \sqrt{2}$, there is a transition from a low-dopping
Luttinger liquid phase into a Luther-Emery liquid at a critical hole
concentration $n_{crit}\approx 1/3$. In the opposite case,
$J_{\perp}/t_{\perp}< 3 / \sqrt{2}$, there as a sequence of three Luttinger
liquid phases (LLI, LLII and LLIII) as a function of hole dopping.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th