Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flux roughening in spin ice with mixed $\pm J$ interactions   Spin ice presents a typical example of classical spin liquid, where conserved
magnetic fluxes emerge from microscopic spin degrees of freedom. In this
letter, we investigate the effect of perturbation by magnetic charge disorder
in two-dimensional spin ice. To this aim, we develop a novel cluster update
algorithm, which enables fast relaxation of magnetic charges. The efficient
Monte Carlo calculation reveals a drastic change of spin structure factor as
doping magnetic charges: the pinch point, characterizing the spin ice, is
gradually replaced by a diffusive peak. We derive an analytical relation
connecting the flux fluctuation and the spin structure factor, and explain the
evolution of diffusive peak in terms of the roughening of magnetic fluxes.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph