Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet
  with Dynamical Jahn-Teller Effect   Short-range resonating-valence bond states in an orbitally degenerate magnet
on a honeycomb lattice is studied. A quantum-dimer model is derived from the
Hamiltonian which represents the superexchange interaction and the dynamical
Jahn-Teller (JT) effect. We introduce two local units termed "spin-orbital
singlet dimer", where two spins in a nearest-neighbor bond form a singlet state
associated with an orbital polarization along the bond, and "local JT singlet",
where an orbital polarization is quenched due to the dynamical JT effect. A
derived quantum-dimer model consists of the hopping of the spin-orbital singlet
dimers and the JT singlets, and the chemical potential of the JT singlets. We
analyze the model by the mean-field approximation, and find that a
characteristic phase, termed "JT liquid phase", where both the spin-orbital
singlet dimers and the JT singlets move quantum mechanically, is realized.
Possible scenarios for the recently observed non magnetic-ordered state in
Ba$_3$CuSb$_2$O$_9$ are discussed.

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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc