Magnetization plateaux, Haldane-like gap, string order and hidden symmetry in a spin-1/2 tetrameric Heisenberg antiferromagnetic chain

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dc.creatorGong, Shou-Shu
dc.creatorSu, Gang
dc.date2008-08-31
dc.date.accessioned2026-07-07T10:07:59Z
dc.date.available2026-07-07T10:07:59Z
dc.descriptionThe ground-state properties of a spin $S=1/2$ tetrameric Heisenberg antiferromagnetic chain with alternating couplings AF$_{1}$-AF$_{2}$-AF$_{1}$% -F (AF and F denote antiferromagnetic and ferromagnetic couplings, respectively) are studied by means of the density matrix renormalization group method. Two plateaux of magnetization $m$ are found at $m=0$ and 1/4% . It is shown that in such a spin-1/2 AF system, there is a gap from the singlet ground state to the triplet excited states in the absence of a magnetic field. The spin-spin correlation function decays exponentially, and the gapped states have a nonvanishing string order, which measures a hidden symmetry in the system. By a dual transformation, the string order is transformed into a ferromagnetic order and the hidden symmetry is unveiled to be a $Z_{2}\times Z_{2}$ discrete symmetry, which is fully broken in the gapped states. This half-integer spin Heisenberg AF chain is in a Haldane-like phase, suggesting that the present findings extend the substance of Haldane's scenario. A valence-bond-solid state picture is also proposed for the gapped states.
dc.description11pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0809.0093
dc.identifierhttp://arxiv.org/abs/0809.0093
dc.identifierPhys. Rev. B 78, 104416 (2008) (Editors' suggestions)
dc.identifierdoi:10.1103/PhysRevB.78.104416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170838
dc.subjectStrongly Correlated Electrons
dc.titleMagnetization plateaux, Haldane-like gap, string order and hidden symmetry in a spin-1/2 tetrameric Heisenberg antiferromagnetic chain
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