Phase diagram of S=1 XXZ chain with next-nearest neighbor interaction

dc.creatorMurashima, Takahiro
dc.creatorHijii, Keigo
dc.creatorNomura, Kiyohide
dc.creatorTonegawa, Takashi
dc.date2004-05-18
dc.date2005-02-20
dc.date.accessioned2026-07-07T02:58:12Z
dc.date.available2026-07-07T02:58:12Z
dc.descriptionThe one dimensional S=1 XXZ model with next-nearest-neighbor interaction $α$ and Ising-type anisotropy $Δ$ is studied by using a numerical diagonalization technique. We discuss the ground state phase diagram of this model numerically by the twisted-boundary-condition level spectroscopy method and the phenomenological renormalization group method, and analytically by the spin wave theory. We determine the phase boundaries among the XY phase, the Haldane phase, the ferromagnetic phase and the Néel phase, and then we confirm the universality class. Moreover, we map this model onto the non-linear $σ$ model and analyze the phase diagram in the $α$ $\ll$ -1 and $Δ$ $\sim$ 1 region by using the renormalization group method.
dc.description18 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0405385
dc.identifierhttp://arxiv.org/abs/cond-mat/0405385
dc.identifierJ. Phys. Soc. Jpn., Vol. 74, No. 5, p. 1544-1551 (2005)
dc.identifierdoi:10.1143/JPSJ.74.1544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23986
dc.subjectStrongly Correlated Electrons
dc.titlePhase diagram of S=1 XXZ chain with next-nearest neighbor interaction
dc.typetext

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