A numerical study of the formation of magnetisation plateaus in quasi one-dimensional spin-1/2 Heisenberg models
Physics Department, University of Wuppertal, 42097 Wuppertal, Germany
Revised: 6 January 2000
Published online: 15 June 2000
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 occurrence of magnetization plateaus. The latter are tested by numerical computations with the DMRG algorithm.
PACS: 75.10.-b – General theory and models of magnetic ordering / 75.10.Jm – Quantized spin models / 75.45.+j – Macroscopic quantum phenomena in magnetic systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000