Quantum magnetism in ultracold alkali and alkaline-earth fermion systems with symplectic symmetry

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	Quantum magnetism in ultracold alkali and alkaline-earth fermion systems with symplectic symmetry
	Hung, HH ; Wang, YP ; Wu, CJ
刊名	PHYSICAL REVIEW B
	2011
卷号	84 期号:5
关键词	COLD ATOMIC SYSTEMS HEISENBERG-ANTIFERROMAGNET RENORMALIZATION-GROUPS ARBITRARY SPIN MODEL LIQUID ORDERS STATE
ISSN号	1098-0121
通讯作者	Hung, HH (reprint author), Univ Calif San Diego, Dept Phys, San Diego, CA 92093 USA.
中文摘要	We numerically study the quantum magnetism of ultracold alkali and alkaline-earth fermion systems with large hyperfine spin F = 3/2, which are characterized by a generic Sp(N) symmetry with N = 4. The methods of exact diagonalization (ED) and density matrix renormalization group are employed for the large size one-dimensional (1D) systems, and the ED method is applied to a two-dimensional (2D) square lattice on small sizes. We focus on the magnetic exchange models in the Mott-insulating state at quarter-filling. Both 1D and 2D systems exhibit rich phase diagrams depending on the ratio between the spin exchanges J(0) and J(2) in the bond spin singlet and quintet channels, respectively. In one dimension, the ground states exhibit a long-range-ordered dimerization with a finite spin gap at J(0)/J(2) > 1 and a gapless spin-liquid state at J(0)/J(2) <= 1, respectively. In the former and latter cases, the correlation functions exhibit the two-site and four-site periodicities, respectively. In two-dimensions, various spin-correlation functions are calculated up to the size of 4 x 4. The Neel-type spin correlation dominates at large values of J(0)/J(2), while a 2 x 2 plaquette correlation is prominent at small values of this ratio. Between them, a columnar spin-Peierls dimerization correlation peaks. We infer the competition among the plaquette ordering, the dimer ordering, and the Neel ordering in the 2D system.
收录类别	SCI
资助信息	NSF [DMR-1105945]; NSFC; MOST, China
语种	英语
公开日期	2013-09-24
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/51693]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Hung, HH,Wang, YP,Wu, CJ. Quantum magnetism in ultracold alkali and alkaline-earth fermion systems with symplectic symmetry[J]. PHYSICAL REVIEW B,2011,84(5).
APA	Hung, HH,Wang, YP,&Wu, CJ.(2011).Quantum magnetism in ultracold alkali and alkaline-earth fermion systems with symplectic symmetry.PHYSICAL REVIEW B,84(5).
MLA	Hung, HH,et al."Quantum magnetism in ultracold alkali and alkaline-earth fermion systems with symplectic symmetry".PHYSICAL REVIEW B 84.5(2011).