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Magnetization plateaus and phase diagram in polymerized S=1/2 XXZ chains

Wei Chen·Kazuo Hida·B. C. Sanctuary
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Abstract

The magnetization plateaus of $p$-merized $S=1/2$ XXZ chains are studied for general values of $p$. Two plateau-non-plateau critical lines and one plateau-plateau critical line are found for each value of $p$. The universality class of the plateau-non-plateau transition belongs to Brezinskii-Kosterlitz-Thouless (BKT) type and that of the plateau-plateau transition, to the Gaussian type. The critical points are determined by level spectroscopic analysis of the numerical diagonalization results for $4 \le p \le 8$. The multicritical points are calculated using the integral equations based on the Bethe ansatz solution of the XXZ model. The behavior of multicritical points are analyzed in detail for large $p$. It is found that the plateau region is enhanced with the increase of periodicity $p$ although the non-plateau region persists as far as $p$ is finite.

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Wei Chen, Kazuo Hida, B. C. Sanctuary. 2000-09-29. Magnetization plateaus and phase diagram in polymerized S=1/2 XXZ chains. https://doi.org/10.1103/physrevb.63.134427

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