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	Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
	Tu, Hong-Hao ; Zhang, Guang-Ming ; Yu, Lu
	2010-05-06 ; 2010-05-06
关键词	PATH-INTEGRAL APPROACH ARBITRARY SPIN SYSTEMS CONDENSATE SYMMETRY GASES Physics, Condensed Matter
中文摘要	Based 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.
语种	英语 ; 英语
出版者	AMERICAN PHYSICAL SOC ; COLLEGE PK ; ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14931]
专题	清华大学
推荐引用方式 GB/T 7714	Tu, Hong-Hao,Zhang, Guang-Ming,Yu, Lu. Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model[J],2010, 2010.
APA	Tu, Hong-Hao,Zhang, Guang-Ming,&Yu, Lu.(2010).Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model..
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".(2010).

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