Soft modes, Gaps and Magnetization Plateaus in 1D Spin-1/2 Antiferromagnetic Heisenberg Models

Abstract

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_3$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization plateau at $M=(1-q/\pi )/2$, which evolves with strength $\delta$ of the perturbation as ${\delta }^{\epsilon }$, where $\epsilon =\epsilon (h_3,\alpha )$ is related to the $\eta$-exponent which describes the critical behavior of the dimer structure factor, if the perturbation is switched of ($\delta =0$). We also discuss the appearance of magnetization plateaus in ladder systems with $l$ legs.

to be published in Phys. Rev. B

References in corpus (1)

• The 1D spin-1/2 AF-Heisenberg model in a staggered field

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