Journal of Physics Condensed Matter

Susceptibility of the spin-S Heisenberg antiferromagnetic chain

Pedro D Sacramento

Published Oct 31, 1994• 1 citation

Abstract

The numerical solution of the low-temperature behaviour of the susceptibility of the spin-S antiferromagnetic chain is presented starting from the exact thermodynamic Bethe ansatz equations for the Takhtajan-Babujian model. It is found that the susceptibility for the several values of S tends to its zero-T value with infinite slope, extending previous results obtained by Eggert et al. (1994) for the S= 1/2 case.

DOI: 10.1088/0953-8984/6/44/004

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Journal of Physics Condensed Matter

Susceptibility of the spin-S Heisenberg antiferromagnetic chain

Pedro D Sacramento

Published Oct 31, 1994• 1 citation

Publisher

Abstract

DOI: 10.1088/0953-8984/6/44/004

Related papers

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\sqrt{T/|J|}

about T =0. The critical exponents are a =-1/2 and y =2. The coefficient of T 3/2 term in the free energy agrees with the spin wave theory with the accuracy of 0.1%. The coefficient of T -2 term in the zero-field susceptibility agrees with Fisher's solution of the classical Heisenberg model with the accuracy of 0.3%. The contribution from the second and higher order terms of the expansions in these thermodynamic quantities is not negligible in the region T /| J |>0.002.

The thermodynamic Bethe-Ansatz equations for the isotropic ferromagnetic

S=\frac{1}{2}

Heisenberg chain have been solved numerically. At low temperatures, I find a power-law dependence on

T

for the specific heat and the susceptibility with critical exponents $\ensuremath{\alpha}=\ensuremath{-}0.49\ifmmode\pm\else\textpm\fi{}0.02$, $\ensuremath{\gamma}=2.00\ifmmode\pm\else\textpm\fi{}0.02$, and $\ensuremath{\Delta}\ensuremath{\simeq}\ensuremath{\gamma}$. The exponent $\ensuremath{\alpha}$ is compatible with effective spin waves and $\ensuremath{\gamma}$ and $\ensuremath{\Delta}$ are the exponents of the classical chain. Amplitudes and corrections to scaling are obtained and differences with previous results are discussed.