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The magnetization plateaus of $p$-merized $S=1/2$ XXZ chains are studied forgeneral values of $p$. Two plateau-non-plateau critical lines and oneplateau-plateau critical line are found for each value of $p$. The universalityclass of the plateau-non-plateau transition belongs toBrezinskii-Kosterlitz-Thouless (BKT) type and that of the plateau-plateautransition, to the Gaussian type. The critical points are determined by levelspectroscopic analysis of the numerical diagonalization results for $4 \le p\le 8$. The multicritical points are calculated using the integral equationsbased on the Bethe ansatz solution of the XXZ model. The behavior ofmulticritical points are analyzed in detail for large $p$. It is found that theplateau region is enhanced with the increase of periodicity $p$ although thenon-plateau region persists as far as $p$ is finite.Comment: 5pages, 5figure

physical review. b, condensed matter

Magnetization plateaus and phase diagram in polymerized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XXZ</mml:mi></mml:math>chains

Magnetization plateaus and phase diagram in polymerizedS=1/2XXZchains