Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermionization Transform for Certain Higher-Dimensional Quantum Spin
  Models   Proposed is a generalization of Jordan-Wigner transform that allows to
exactly fermionize a large family of quantum spin Hamiltonians in dimensions
higher than one. The key new steps are to enlarge the Hilbert space of the
original model by adding to it a collection of stand-alone free spins and to
use a combination of these auxiliary operators and the lattice spins to
construct a proper fermion representation of the physical Hamiltonian. The
transform is especially useful for lattice spin Hamiltonians, where two-spin
interactions of XY-type are either absent or exist only within one-dimensional
chains and where the chains are coupled via two-spin interactions of Ising
type, ring-exchange terms, or more general multi-spin interactions that involve
an even number of spin operators from each chain. Using the proposed
fermionization method we provide a simple argument suggesting that a spin
Hamiltonian closely-related to the ring-exchange model proposed by Paramekanti,
Balents, and Fisher [Phys. Rev. B 66, 054526 (2002)] indeed realizes a
spin-liquid state.

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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc