Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Replica symmetry breaking in the RKKY skyrmion crystal system   We study the RKKY Heisenberg model on a three-dimensional stacked-triangular
lattice under magnetic fields by extensive Monte Carlo simulations to get
insight into the chiral-degenerate symmetric skyrmion crystal (SkX) in
centrosymmetric metallic magnets. The triple-$q$ SkX state and the double-$q$
states are realized, together with the single-$q$ state. We find an unexpected
phenomenon of the replica-symmetry breaking (RSB) well-known in glassy systems,
although the Hamiltonian and the ordered state are entirely regular. In the RSB
SkX phase, the triple-$q$ SkX state macroscopically coexists with the
single-$q$ state, in spite of the fact that these ordered states cannot be
transformed via any Hamiltonian-symmetry operation. In the thermodynamic limit,
the free energies of these states are degenerate whereas the free-energy
barrier between the states diverges, breaking the ergodicity. A similar RSB is
observed also in the RSB double-$q$ phase where the double-$q$ state
macroscopically coexists with the single-$q$ state. Experimental implications
are discussed.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
3
The categories of this paper are: physics