Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
arXiv:cond-mat/0407259 · doi:10.1103/PhysRevB.70.184434
Abstract
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.
16 pages, 3 figures
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- Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions
- Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
- Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
- Spin-1 bosons in an external magnetic field and a three body interaction potential
- Nematic-orbit coupling and nematic density waves in spin-1 condensates
- Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
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- Quantum phases of a spin-1 ultracold Bose gas with three body interactions
- Effects of an attractive three body interaction on a spin-1 Bose Hubbard model