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Lecture notes in physics

Magnetized States of Quantum Spin Chains

C. Broholm, G. Aeppli, Youzhe Chen, D. C. Dender, M. Enderle, Philip R. Hammar, Zentaro Honda, K. Katsumata, C.P. Landee, Masaki Oshikawa, L. P. Régnault, Daniel H. Reich, S. M. Shapiro, M. Sieling, M. B. Stone, Mark M. Turnbull, Igor A. Zaliznyak, A. Zheludev

Published Jan 1, 2002• 10 citations
Publisher
DOI
10.1007/3-540-45649-x_8

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The ground-state magnetization curve around the critical magnetic field Hc{H}_{c}Hc​ of quantum spin chains with a spin gap is investigated. We propose a size scaling method to estimate the critical exponent \ensuremath{\delta} defined as $m\ensuremath{\sim}|H\ensuremath{-}{H}_{c}{|}^{1/\ensuremath{\delta}}$ from finite cluster calculation. The applications of the method to the S=1S=1S=1 antiferromagnetic chain and S=1/2S=1/2S=1/2 bond-alternating chain lead to a common conclusion that $\ensuremath{\delta}=2.$ The same result is derived for both edges of the magnetization plateau of the S=3/2S=3/2S=3/2 antiferromagnetic chain with single-ion anisotropy.
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