Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Layered frustrated antiferromagnetic Heisenberg spin model: role of
  inplane frustration and interlayer coupling   We present an exact diagonalization study on layered $J_{1}-J_{2}$
antiferromagnetic Heisenberg spin model to examine the role of frustration
induced by inplane next-nearest neighbor coupling $J_{2}$, in presence of
interlayer antiferromagnetic coupling $J_{\perp}$. A finite lattice of 24 spins
in layered geometry of $(4\times 3)\oplus (4\times 3)$ is considered and the
resulting Hamiltonian matrix diagonalized using Davidson iterative algorithm to
obtain the ground and a few low-lying excited states. The lattice size ($24$
spins with Hilbert space dimensionality of $2704156$ in $S_{z}^{tot}=0$
subspace) has been kept relatively small because of the large number of runs
required to sample $J_{1}-J_{2}-J_{\perp}$ parameter space. Quantities like
spin-gap, Shannon entropy, spin-spin correlation, static spin structure-factor,
magnetic specific-heat and magnetic susceptibility are calculated for various
values of spin-spin coupling parameters. With increase in interlayer coupling,
the system is driven to states with long range order and the interval of
quantum paramagnetically disordered state, sandwiched between N\'{e}el and
collinear ordered states, narrows on the scale of inplane frustration
parameter.

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The categories of this paper are: hep-lat
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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: q-fin
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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: econ
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an