A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains

Details A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains

1998-08-28

arxiv.org/abs/cond-mat/9808312v1

Phys. Rev. B59 (1999) 6790-6794

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages REVTeX, three PostScript figures included using psfig.sty

Scientific paper

10.1103/PhysRevB.59.6790

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.

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