Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Demonstrating the AKLT spectral gap on 2D degree-3 lattices   We establish that the spin-3/2 AKLT model on the honeycomb has a nonzero
spectral gap. We use the relation between the anticommutator of two projectors
and their sum, and apply it to related AKLT projectors that occupy plaquettes
or other extended regions. We analytically reduce the complexity in the
resulting eigenvalue problem and use a Lanczos numerical method to show that
the required inequality for the nonzero spectral gap holds. This approach is
also successfuly applied to several other spin-3/2 AKLT models on degree-3
semiregular tilings, such as the square octagon, star and cross lattices, where
the complexity is low enough that exact diagonalization can be used instead of
the Lanczos method. In addition, we also close the previously open cases in the
singly decorated honeycomb and square lattices.

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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph