Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Identification of hidden order and emergent constraints in frustrated
  magnets using tensorial kernel methods   Machine-learning techniques have proved successful in identifying ordered
phases of matter. However, it remains an open question how far they can
contribute to the understanding of phases without broken symmetry, such as spin
liquids. Here we demonstrate how a machine learning approach can automatically
learn the intricate phase diagram of a classical frustrated spin model. The
method we employ is a support vector machine equipped with a tensorial kernel
and a spectral graph analysis which admits its applicability in an effectively
unsupervised context. Thanks to the interpretability of the machine we are able
to infer, in closed form, both order parameter tensors of phases with broken
symmetry, and the local constraints which signal an emergent gauge structure,
and so characterize classical spin liquids. The method is applied to the
classical XXZ model on the pyrochlore lattice where it distinguishes---among
others---between a hidden biaxial spin nematic phase and several different
classical spin liquids. The results are in full agreement with a previous
analysis by Taillefumier \emph{et al.} [Phys. Rev. X 7, 041057 (2017)], but go
further by providing a systematic hierarchy between disordered regimes, and
establishing the physical relevance of the susceptibilities associated with the
local constraints. Our work paves the way for the search of new orders and spin
liquids in generic frustrated magnets.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph