Microscopic wave functions of spin-singlet and nematic Mott states of spin-one bosons in high-dimensional bipartite lattices

2003/06/30 by Michiel Snoek, Fei Zhou · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat

paper · pdf · doi:10.1103/physrevb.69.094410

8 pages, 6 figures; final version, to appear in PRB

arxiv created 2004/01/05 · openalex publication_date 2004/03/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present microscopic wave functions of spin-singlet Mott insulating states and nematic Mott insulating states. We also investigate quantum phase transitions between the spin-singlet Mott phase and the nematic Mott phase in both large-N limit and small-N limit (N being the number of particles per site) in high-dimensional bipartite lattices. In the mean-field approximation employed in this article we find that phase transitions are generally weakly first order.

Citations

• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• The Physics of Liquid Crystals
• Quantum Spin Nematic States in Bose–Einstein Condensates

Cited by

• Spin-quadrupole ordering of spin-32ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Spin structure and critical nucleation frequency of fractionalized vortices in 2D topologically ordered superfluids of cold atoms