Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-12-28
Phy. Rev. B 79 064412 (2009)
Physics
Condensed Matter
Statistical Mechanics
Substantial enhancement from previous submission; added new section on fractionalized phases
Scientific paper
10.1103/PhysRevB.79.064412
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 {\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.
Hu Xiao
Tanaka Akihiro
Totsuka Keisuke
No associations
LandOfFree
Geometric phases and the magnetization process in quantum antiferromagnets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometric phases and the magnetization process in quantum antiferromagnets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric phases and the magnetization process in quantum antiferromagnets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-508207