Ferroics: magnetic-compass lattice and optical phonon dispersions of dipolar crystals

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dc.creatorNishimatsu, Takeshi
dc.creatorWaghmare, Umesh V.
dc.creatorKawazoe, Yoshiyuki
dc.creatorBurton, Benjamin
dc.creatorNagao, Kazutaka
dc.creatorSaito, Yoshihiko
dc.date2005-12-22
dc.date2006-01-03
dc.date.accessioned2026-07-07T06:53:37Z
dc.date.available2026-07-07T06:53:37Z
dc.descriptionWe report a simple safe and attractive pedagogic demonstration with magnetic compasses that facilitates an intuitive understanding of the concept that ferromagnetism and ferroelectricity do not result from dipole-dipole interactions alone. Phonon dispersion relations were calculated for a 3-dimensional simple-cubic dipole crystal and a 2-dimensional square-lattice dipole crystal. The latter calculation corresponds to the compass demonstration that confirm the antiferro ground state structure. A sum rule for the three optical phonon frequencies is discussed. A mathematical non-analyticity in the longitudinal optical phonon are also illustrated.
dc.description6 pages, 9 figures, submitted to The American Journal of Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0512563
dc.identifierhttp://arxiv.org/abs/cond-mat/0512563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105650
dc.subjectMaterials Science
dc.titleFerroics: magnetic-compass lattice and optical phonon dispersions of dipolar crystals
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