Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-temperature phase transitions in the quantum fully frustrated
  Ising models   The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice
and analogous fully frustrated Ising model on a square lattice with quantum
fluctuations induced by the application of the transverse magnetic field are
studied at finite temperatures by constructing an exact mapping onto a purely
classical model with a more complex interaction. It is shown that in weak
fields the temperatures of the phase transitions separating the critical phase
from the ordered and disordered phases in both models are proportional to the
magnitude of the field.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg