Magnetization Plateaus in One Dimensional $\check{S}=1/2$ Heisenberg Model with Dimerization and Quadrumerization

Abstract

The one dimensional $S=1/2$ Heisenberg model with dimerization ($1-j$) and quadrumerization ($\delta$) in the magnetic field is studied by means of the numerical exact diagonalization of finite size systems and the conformal field theory. It is found that the magnetization plateau at half of the saturation value exists for $\delta \ne 0$. For $\delta =0$, this model is described by the conformal field theory with central charge $c=1$ at this value of magnetization. The critical exponent $\nu$ which characterizes the $\delta$-dependence of the width of the plateau is calculated using the level spectroscopy method. The $j$-dependence of the critical exponent $\nu$ is found to be non-monotonic and discontinuous at $j=0$. The effective theory of the magnetization plateau is also presented for various limiting cases.

5 pages, 9 figures

References in corpus (3)

• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Interacting Boson Theory of the Magnetization Process of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain
• Ground State Properties of One Dimensional S=1/2 Heisenberg Model with Dimerization and Quadrumerization

Cited by in corpus (8)

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• Quantum anisotropic Heisenberg chains with superlattice structure: a DMRG study
• Quasi-periodic spin chains in a magnetic field
• Magnetization plateaus and phase diagram in polymerized S=1/2 XXZ chains
• Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model
• Local magnetic properties of periodic nonuniform spin-1/2 XX chains
• Ground State Phase Diagram of the One Dimensional S=1/2 XXZ Model with Dimerization and Quadrumerization