Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The AKLT model on a hexagonal chain is gapped   In 1987, Affleck, Kennedy, Lieb, and Tasaki introduced the AKLT spin chain
and proved that it has a spectral gap above the ground state. Their concurrent
conjecture that the two-dimensional AKLT model on the hexagonal lattice is also
gapped remains open. In this paper, we show that the AKLT Hamiltonian
restricted to an arbitrarily long chain of hexagons is gapped. The argument is
based on explicitly verifying a finite-size criterion which is tailor-made for
the system at hand. We also discuss generalizations of the method to the full
hexagonal lattice.

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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
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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: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph