Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analogy between the magnetic dipole moment at the surface of a
  magnetoelectric and the electric charge at the surface of a ferroelectric   In honor of Igor Dzyaloshinskii on his 90th birthday, we revisit his
pioneering work on the linear magnetoelectric effect in light of the modern
theory of ferroelectric polarization. We show that the surface magnetic dipole
moment associated with magnetoelectric materials is analogous to the bound
surface charge in ferroelectrics, in that it can be conveniently described in
terms of a bulk magnetoelectric multipolization that is analogous to the
ferroelectric polarization. We define the intrinsic surface magnetization to be
this surface magnetic dipole moment per unit area, and provide a convenient
recipe for extracting it for any surface plane, from knowledge of the bulk
magnetic order. We demonstrate the procedure for the prototypical
magnetoelectric material, Cr$_2$O$_3$, in which Dzyaloshinskii first identified
the linear magnetoelectric effect, and compare the value of the intrinsic
surface magnetization to recent experimental measurements. Finally, we argue
that non-magnetoelectric antiferromagnets whose multipolization lattices do not
contain zero should have an intrinsic surface magnetization, in the same way
that non-polar insulators whose polarization lattices do not contain zero have
an intrinsic surface charge.

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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn