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The plateau-non-plateau transition in theantiferromagnetic-(ferromagnetic)$_{n}$ polymerized $S=1/2$ XXZ chains underthe magnetic field is investigated. The universality class of this transitionbelongs to the Brezinskii-Kosterlitz-Thouless (BKT) type. The critical pointsare determined by level spectroscopy analysis of the numerical diagonalizationdata for $4 \leq p \leq 13$ where $p(\equiv n+1)$ is the size of a unit cell.It is found that the critical strength of ferromagnetic coupling decreases with$p$ for small $p$ but increases for larger enough $p$. It is also found thatthe plateau for large $p$ is wide enough for moderate values of exchangecoupling so that it should be easily observed experimentally. This is incontrast to the plateaus for $p = 3$ chains which are narrow for a wide rangeof exchange coupling even away from the critical point

Magnetization Plateaus in Antiferromagnetic-(Ferromagnetic)nPolymerizedS=1/2XXZ Chains

Magnetization Plateaus in Antiferromagnetic-(Ferromagnetic)_nPolymerizedS=1/2XXZ Chains