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

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.

5pages, 5figures

References in corpus (7)

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Cited by in corpus (7)

• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Magnetic Properties of J-J-J' Quantum Heisenberg Chains with Spin S=1/2, 1, 3/2 and 2 in a Magnetic Field
• Quantum anisotropic Heisenberg chains with superlattice structure: a DMRG study
• Spin structure factors and valence-bond-solid states of the trimerized Heisenberg chains in a magnetic field
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain