Geometric phases and the magnetization process in quantum antiferromagnets

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dc.creatorTanaka, Akihiro
dc.creatorTotsuka, Keisuke
dc.creatorHu, Xiao
dc.date2007-12-28
dc.date2008-12-15
dc.date.accessioned2026-07-07T13:14:15Z
dc.date.available2026-07-07T13:14:15Z
dc.descriptionThe physics underlying the magnetization process of quantum antiferromagnets is revisited from the viewpoint of geometric phases. A continuum variant of the Lieb-Schultz-Mattis-type approach to the problem is put forth, where the commensurability condition of Oshikawa {\it et al} derives from a Berry connection formulation of the system's crystal momentum. %, similar to that developed by Haldane for ferromagnets. %Building on the physical picture which arises, We then go on to formulate an effective field theory which can deal with higher dimensional cases as well. We find that a topological term, whose principle function is to assign Berry phase factors to space-time vortex objects, ultimately controls the magnetic behavior of the system. We further show how our effective action maps into a ${\bf Z}_2$ gauge theory under certain conditions, which in turn allows for the occurrence of a fractionalized phase with topological order.
dc.descriptionSubstantial enhancement from previous submission; added new section on fractionalized phases
dc.identifierhttps://arxiv.org/abs/0712.4316
dc.identifierhttp://arxiv.org/abs/0712.4316
dc.identifierPhy. Rev. B 79 064412 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.064412
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230149
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleGeometric phases and the magnetization process in quantum antiferromagnets
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