Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential decay of correlations in the two-dimensional random field
  Ising model at zero temperature   We study random field Ising model on $\mathbb Z^2$ where the external field
is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We
show that at zero temperature the effect of boundary conditions on the
magnetization in a finite box decays exponentially in the distance to the
boundary.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom