Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Level Statistics of Multispin-Coupling Models with First and Second
  Order Phase Transitions   We consider self-dual transverse-field Ising spin chains with $m$-spin
interaction, where the phase transition is of second and first order, for m <=
3 and m>3, respectively. We present a statistical analysis of the spectra of
the Hamiltonians on relatively large L <= 18 finite lattices. Outside the
critical point we found level repulsion close to the Wigner distribution and
the same rigidity as for the Gaussian Orthogonal Ensemble. At the transition
point the level statistics in the self-dual sector is shown to be the
superposition of two independent Wigner distributions. This is explained by the
existence of an extra symmetry, which is connected to level crossing in the
thermodynamic limit. Our study has given no evidence for the possible
integrability of the models for m>2, even at the transition point.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess