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- W1972606140 abstract "The 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 et al. derives from a Berry connection formulation of the system's crystal momentum. 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 ${mathbf{Z}}_{2}$ gauge theory under certain conditions, which in turn allows for the occurrence of a fractionalized phase with topological order." @default.
- W1972606140 created "2016-06-24" @default.
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- W1972606140 date "2009-02-17" @default.
- W1972606140 modified "2023-10-14" @default.
- W1972606140 title "Geometric phases and the magnetization process in quantum antiferromagnets" @default.
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- W1972606140 doi "https://doi.org/10.1103/physrevb.79.064412" @default.
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