Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-09
Physics
Condensed Matter
Statistical Mechanics
16 pages, 3 figures
Scientific paper
10.1103/PhysRevB.70.184434
We study magnetically stabilized nematic order for spin-one bosons in optical lattices. We show that the Zeeman field-driven quantum transitions between non-nematic Mott states and quantum spin nematic states in the weak hopping limit are in the universality class of the ferromagnetic XXZ (S=1/2) spin model. We further discuss these transitions as condensation of interacting magnons. The development of O(2) nematic order when external fields are applied corresponds to condensation of magnons, which breaks a U(1) symmetry. Microscopically, this results from a coherent superposition of two non-nematic states at each individual site. Nematic order and spin wave excitations around critical points are studied and critical behaviors are obtained in a dilute gas approximation. We also find that spin singlet states are unstable with respect to quadratic Zeeman effects and Ising nematic order appears in the presence of any finite quadratic Zeeman coupling. All discussions are carried out for states in three dimensional bipartite lattices.
Affleck Ian
Snoek Michiel
Wiemer Jeroen
Zhou Fei
No associations
LandOfFree
Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices 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 Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-164067