Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral order of Spin-1/2 frustrated quantum spin chains   The ordering of the frustrated S=1/2 XY spin chain with the competing
nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, is
studied by using the density-matrix renormalization-group method. It is found
that besides the well-known spin-fluid and dimer phases the chain exhibits
gapless `chiral' phase characterized by the spontaneous breaking of parity, in
which the long-range order parameter is a chirality, \kappa
_l=S_l^xS_{l+1}^y-S_l^yS_{l+1}^x, whereas the spin correlation decays
algebraically. The dimer phase is realized for 0.33 \lsim j = J_2/J_1 \lsim
1.26 while the chiral phase is realized for j \gsim 1.26.

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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: supr-con
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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: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: adap-org