Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$
  Heisenberg Model on the Checkerboard Lattice   We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard
lattice in a magnetic field by the density matrix renormalization group (DMRG)
method with the sine-square deformation. We obtain magnetization plateaus at
$M/M_{\rm sat}=$0, 1/4, 3/8, 1/2, and 3/4 where $M_{\rm sat}$ is the saturated
magnetization. The obtained 3/4 plateau state is consistent with the exact
result, and the 1/2 plateau is found to have a four-spin resonating loop
structure similar to the six-spin loop structure of the 1/3 plateau of the
kagome lattice. Different four-spin loop structures are obtained in the 1/4 and
3/8 plateaus but no corresponding states exist in the kagome lattice. The 3/8
plateau has a unique magnetic structure of three types of four-spin local
quantum states in a $4\sqrt{2}\times2\sqrt{2}$ magnetic unit cell with a
16-fold degeneracy.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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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: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: stat