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Journal of Physics and Chemistry of Solids

Dynamic properties of one-dimensional S=1/2 Heisenberg antiferromagnets with bond-alternation and competition

Shigeyoshi Mori, I. Harada

Published Sep 1, 1999• 2 citations
Publisher
DOI
10.1016/s0022-3697(99)00076-1

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We analytically study the ground-state quantum phase transition between the Haldane phase and the large-D (LD) phase of the ferromagnetic - antiferromagnetic alternating Heisenberg chain with on-site anisotropy. We transform this model into a generalized version of the alternating antiferromagnetic Heisenberg model with anisotropy. In the transformed model, the competition between the transverse and longitudinal bond alternations yields the Haldane - LD transition. Using the bosonization method, we show that the critical exponents vary continuously on the Haldane - LD boundary. Our scaling relations between critical exponents explains very well the numerical results of Hida.
We investigate the low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond alternation by the quantum Monte Carlo method (loop algorithm). The strength of bond alternation at the gapless point is estimated as ${\ensuremath{\delta}}_{c}=0.2595\ifmmode\pm\else\textpm\fi{}0.0005.$ We confirm numerically that the low-temperature properties at the gapless point are consistent with field-theoretical predictions. The numerical results are compared with those of the spin-1/21/21/2 antiferromagnetic Heisenberg chain and recent experimental results for $[{{\mathrm{Ni}(333\ensuremath{-}\mathrm{t}\mathrm{e}\mathrm{t})(\mathrm{\ensuremath{\mu}}\ensuremath{-}\mathrm{N}}_{3}){}}_{n}]({\mathrm{ClO}}_{4}{)}_{n}$ [$333\ensuremath{-}\mathrm{t}\mathrm{e}\mathrm{t}=\mathrm{t}\mathrm{e}\mathrm{t}\mathrm{r}\mathrm{a}\mathrm{a}\mathrm{m}\mathrm{i}\mathrm{n}\mathrm{e}$ ${N,N}^{\ensuremath{'}}$-bis(3-aminopropyl)-1,3-propanediamine].