2004/05/31 by Takahiro Murashima, Keigo Hijii, K. Nomura +2
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.74.1544
published as J. Phys. Soc. Jpn., Vol. 74, No. 5, p. 1544-1551 (2005) · 18 pages, 10 figures
arxiv created 2005/02/20 · openalex publication_date 2005/05/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The 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 N'eel 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 ≪ -1 and Δ ∼ 1 region by using the renormalization group method.