A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains
arXiv:cond-mat/9808312 · doi:10.1103/PhysRevB.59.6790
Abstract
Polymerized quantum spin chains (i.e. spin chains with a periodic modulation of the coupling constants) exhibit plateaux in their magnetization curves when subjected to homogeneous external magnetic fields. We argue that the strong-coupling limit yields a simple but general explanation for the appearance of plateaux as well as of the associated quantization condition on the magnetization. We then proceed to explicitly compute series for the plateau boundaries of trimerized and quadrumerized spin-1/2 chains. The picture is completed by a discussion how the universality classes associated to the transitions at the boundaries of magnetization plateaux arise in many cases from a first order strong-coupling effective Hamiltonian.
5 pages REVTeX, three PostScript figures included using psfig.sty
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- Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain
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- Breakdown of a Magnetization Plateau due to Anisotropy in Heisenberg Mixed-Spin Chains
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