Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double-Exchange Model on Triangle Chain   We study ground state properties of the double-exchange model on triangle
chain in the classical limit on $t_{2g}$ spins. The ground state is determined
by a competition among the kinetic energy of the $e_g$ electron, the
antiferromagnetic exchange energy between the $t_{2g}$ spins, and frustration
due to a geometric structure of the lattice. The phase diagrams are obtained
numerically for two kinds of the models which differ only in the transfer
integral being real or complex. The properties of the states are understood
from the viewpoint of the spin-induced Peierls instability. The results suggest
the existence of a chiral glass phase which is characterized by a local spin
chirality and a continuous degeneracy.

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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg