Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-02-11
J. Phys.: Condensed Matter 11 (1999) 4697-4713
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages plain TeX (with macro package included), 7 PostScript figures included using psfig.sty
Scientific paper
10.1088/0953-8984/11/24/311
Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice with Ising-like anisotropies, and a plateau with one third of the saturation magnetization on the triangular lattice which survives a small amount of easy-plane anisotropy. Here we start with transfer matrix computations for the Ising limit and continue with series in the XXZ-anisotropy for plateau-boundaries using the groundstates of the Ising limit. The main focus is then a numerical computation of the magnetization curves with anisotropies in the vicinity of the isotropic situation. Finally, we discuss the universality class associated to the asymptotic behaviour of the magnetization curve close to saturation, as observed numerically in two and higher dimensions.
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