Magnetization process of the spin-1/2 XXZ models on square and cubic lattices

Details Magnetization process of the spin-1/2 XXZ models on square and cubic lattices Magnetization process of the spin-1/2 XXZ models on square and cubic lattices

1997-05-15

arxiv.org/abs/cond-mat/9705148v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, RevTex, 7 PostScript figures, to appear in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.56.3212

The magnetization process of the spin-1/2 antiferromagnetic XXZ model with Ising-like anisotropy in the ground state is investigated. We show numerically that the Ising-like XXZ models on square and cubic lattices show a first-order phase transition at some critical magnetic field. We estimate the value of the critical field and the magnetization jump on the basis of the Maxwell construction. The magnetization jump in the Ising-limit is investigated by means of perturbation theory. Based on our numerical results, we briefly discuss the phase diagram of the extended Bose-Hubbard model in the hard-core limit.

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