Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model

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dc.creatorTu, Hong-Hao
dc.creatorZhang, Guang-Ming
dc.creatorYu, Lu
dc.date2006-08-30
dc.date2006-11-04
dc.date.accessioned2026-07-07T07:19:52Z
dc.date.available2026-07-07T07:19:52Z
dc.descriptionBased 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 \textit{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 2D 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.
dc.description12 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0608673
dc.identifierhttp://arxiv.org/abs/cond-mat/0608673
dc.identifierPhys. Rev. B 74, 174404 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.174404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114789
dc.subjectStrongly Correlated Electrons
dc.titleSpin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
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