Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-orbital exchange of strongly interacting fermions on the $p$-band
  of a two-dimensional optical lattice   Mott insulators with both spin and orbital degeneracy are pertinent to a
large number of transition metal oxides. The intertwined spin and orbital
fluctuations can lead to rather exotic phases such as quantum spin-orbital
liquids. Here we consider two-component (spin 1/2) fermionic atoms with strong
repulsive interactions on the $p$-band of the optical square lattice. We derive
the spin-orbital exchange for quarter filling of the $p$-band when the density
fluctuations are suppressed, and show it frustrates the development of long
range spin order. Exact diagonalization indicates a spin-disordered ground
state with ferro-orbital order. The system dynamically decouples into
individual Heisenberg spin chains, each realizing a Luttinger liquid accessible
at higher temperatures compared to atoms confined to the $s$-band.

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The categories of this paper are: stat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex