Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbital liquid in three dimensional Mott insulator: $LaTiO_3$   We present a theory of spin and orbital states in Mott insulator $LaTiO_3$.
The spin-orbital superexchange interaction between $d^1(t_{2g})$ ions in cubic
crystal suffers from a pathological degeneracy of orbital states at classical
level. Quantum effects remove this degeneracy and result in the formation of
the coherent ground state, in which the orbital moment of $t_{2g}$ level is
fully quenched. We find a finite gap for orbital excitations. Such a disordered
state of local degrees of freedom on unfrustrated, simple cubic lattice is
highly unusual. Orbital liquid state naturally explains observed anomalies of
$LaTiO_3$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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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: comp-gas
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The categories of this paper are: q-fin