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Tu, Hong-Hao; Zhang, Guang-Ming; Yu, Lu; Zhang, GM , Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China
Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
Source PublicationPHYSICAL REVIEW B
KeywordPath-integral Approach Arbitrary Spin Systems Condensate Symmetry Gases
AbstractBased on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the s-wave scattering lengths for the total spin S=2,0 satisfy conditions a(2)> a(0)> 0, we apply a functional integral approach to the half filled case, where the spin-quadrupole fluctuations dominate. On a two-dimensional square lattice, the saddle-point solution yields a staggered spin-quadrupole ordering at zero temperature with symmetry breaking from SO(5) to SO(4). Both spin and spin-quadrupole static structure factors are calculated, displaying highly anisotropic spin antiferromagnetic fluctuations and antiferroquadrupole long-range correlations, respectively. When Gaussian fluctuations around the saddle point are taken into account, spin-quadrupole density waves with a linear dispersion are derived. Compared with the spin-density waves in the half filled spin-1/2 Hubbard model, the quadrupole density wave velocity is saturated in the strong-coupling limit, and there are no transverse spin-quadrupole mode couplings, as required by the SO(4) invariance of the effective action. Finally, in the strong-coupling limit of the model Hamiltonian, we derive the effective hyperfine spin-exchange interactions for the Mott insulating phases in the quarter filled and half filled cases, respectively.
2006
ISSN1098-0121
Volume74Issue:17Pages:-
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5862
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhang, GM , Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
Tu, Hong-Hao,Zhang, Guang-Ming,Yu, Lu,et al. Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model[J]. PHYSICAL REVIEW B,2006,74(17):-.
APA Tu, Hong-Hao,Zhang, Guang-Ming,Yu, Lu,&Zhang, GM , Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China.(2006).Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model.PHYSICAL REVIEW B,74(17),-.
MLA Tu, Hong-Hao,et al."Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model".PHYSICAL REVIEW B 74.17(2006):-.
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