Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finding hidden order in spin models with persistent homology   Persistent homology (PH) is a relatively new field in applied mathematics
that studies the components and shapes of discrete data. In this work, we
demonstrate that PH can be used as a universal framework to identify phases in
spin models, including hidden order such as spin nematic ordering and spin
liquids. By converting a small number of spin configurations to barcodes we
obtain a descriptive picture of configuration space. Using dimensionality
reduction to reduce the barcode space to color space leads to a visualization
of the phase diagram.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph