Plateau of the Magnetization Curve of the S=1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Spin Chain

Abstract

I analytically study the plateau of the magnetization curve at $M/M_{\mathrm{S}}=1/3$ (where $M_{\mathrm{S}}$ is the saturation magnetization) of the one-dimensional $S=1/2$ trimerized Heisenberg spin system with ferromagnetic ($J_{\mathrm{F}}$)-ferromagnetic ($J_{\mathrm{F}}$)-antiferromagnetic ($J_{\mathrm{A}}$) interactions at $T=0$. I use the bosonization technique for the fermion representation of the spin Hamiltonian through the Jordan-Wigner transformation. The plateau appears when $\gamma \equiv J_{\mathrm{F}}/J_{\mathrm{A}}<{\gamma }_{\mathrm{C}}$, and vanishes when $\gamma >{\gamma }_{\mathrm{C}}$, where the critical value ${\gamma }_{\mathrm{C}}$ is estimated as ${\gamma }_{\mathrm{C}}=5\sim 6$. The behavior of the width of the plateau near ${\gamma }_{\mathrm{C}}$ is of the Kosterlitz-Thouless type. The present theory well explains the numerical result by Hida.

7 pages, Plain Tex, 4 figures on request

References in corpus (1)

• Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:

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