A numerical study of the formation of magnetisation plateaus in quasi one-dimensional spin-1/2 Heisenberg models

Details A numerical study of the formation of magnetisation plateaus in quasi one-dimensional spin-1/2 Heisenberg models A numerical study of the formation of magnetisation plateaus in quasi one-dimensional spin-1/2 Heisenberg models

2000-01-31

arxiv.org/abs/cond-mat/0001442v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 10 figures, accepted for publication in Euro. Phys. J. B

Scientific paper

10.1007/s100510051149

We study the magnetisation process of the one dimensional spin-1/2 antiferromagnetic Heisenberg model with modulated couplings over j=1,2,3 sites. It turns out that the evolution of magnetisation plateaus depends on j and on the wave number q of the modulation according to the rule of Oshikawa, et al. A mapping of two- and three-leg zig-zag ladders on one dimensional systems with modulated couplings yields predictions for the occurence of magnetization plateaus. The latter are tested by numerical computations with the DMRG algorithm.

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