Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenching the Haldane gap in spin-1 Heisenberg antiferromagnets   We consider a quasi-one-dimensional system of spin-1 Heisenberg
antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain
coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale
numerical simulations, we map out the $J-D$ phase diagram and investigate the
low lying excitations of the Haldane phase in the $J\ll1$ limit. We also
provide direct evidence that the Haldane phase remains a non-trivial symmetry
protected topological state for small but finite $J$.

30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin