Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous ground-state degeneracy of classical dipoles on regular
  lattices   Dipolar interactions are crucial in the modeling of many complex magnetic
systems, such as the pyrochlores and artificial spin systems. Remarkably, many
classical dipolar coupled spin systems exhibit a continuous ground-state
degeneracy, which is unexpected as the Hamiltonian does not possess a
continuous symmetry. In this paper, we explain, how such a finite
point-symmetry leads to a continuous ground-state degeneracy of specific
classical dipolar-coupled systems. This work, therefore, provides new insight
into the theory of classical dipolar-coupled spin-systems and opens the way to
understand more complex dipolar coupled systems.

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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: eess