Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potts-model critical manifolds revisited   We compute the critical polymials for the q-state Potts model on all
Archimedean lattices, using a parallel implementation of the algorithm of
(Jacobsen, J. Phys. A: Math. Theor. 47 135001) that gives us access to larger
sizes than previously possible. The exact polynomials are computed for bases of
size $6 \times 6$ unit cells, and the root in the temperature variable
$v=e^K-1$ is determined numerically at $q=1$ for bases of size $8 \times 8$.
This leads to improved results for bond percolation thresholds, and for the
Potts-model critical manifolds in the real $(q,v)$ plane. In the two most
favourable cases, we find now the kagome-lattice threshold to eleven digits and
that of the $(3,12^2)$ lattice to thirteen. Our critical manifolds reveal many
interesting features in the antiferromagnetic region of the Potts model, and
determine accurately the extent of the Berker-Kadanoff phase for the lattices
studied.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci