Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical dipoles on the kagome lattice   Motivated by recent developments in magnetic materials, frustrated nanoarrays
and cold atomic systems, we investigate the behaviour of dipolar spins on the
frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza
approach, numerical energy minimization, spin-wave analysis and parallel
tempering Monte-Carlo, we study long-range ordering and finite-temperature
phase transitions for a Hamiltonian containing both dipolar and
nearest-neighbor interactions. For both weak and moderate dipolar interactions,
the system enters a three-sublattice long-range ordered state, with each
triangle having vanishing dipole and quadrupole moments; while for dominating
dipolar interactions we uncover ferrimagnetic three-sublattice order. These are
also the ground states for XY spins. We discuss excitations of, as well as
phase transitions into, these states. We find behaviour consistent with Ising
criticality for the 120-degree state, while the ferrimagnetic state appears to
be associated with drifting exponents. The celebrated flat band of zero-energy
excitations of the kagome nearest-neighbour Heisenberg model is lifted to
finite energies but acquires only minimal dispersion as dipolar interactions
are added.

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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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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: supr-con