Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-05-18
J. Phys. Soc. Jpn., Vol. 74, No. 5, p. 1544-1551 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
18 pages, 10 figures
Scientific paper
10.1143/JPSJ.74.1544
The one dimensional S=1 XXZ model with next-nearest-neighbor interaction $\alpha$ and Ising-type anisotropy $\Delta$ 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 N\'{e}el phase, and then we confirm the universality class. Moreover, we map this model onto the non-linear $\sigma$ model and analyze the phase diagram in the $\alpha$ $\ll$ -1 and $\Delta$ $\sim$ 1 region by using the renormalization group method.
Hijii Keigo
Murashima Takahiro
Nomura Kiyohide
Tonegawa Takashi
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