Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain

Details Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain

2000-02-09

arxiv.org/abs/cond-mat/0002140v1

Phys. Rev. Lett. 84, 4701-4704 (2000)

Physics

Condensed Matter

4 pages Latex

Scientific paper

10.1103/PhysRevLett.84.4701

We present a new application of the traditional thermodynamic Bethe ansatz to the spin-1/2 antiferromagnetic uniform Heisenberg chain and derive exact nonlinear integral equations for just {\em two} functions describing the elementary excitations. Using this approach the magnetic susceptibility $\chi$ and specific heat C versus temperature T are calculated to high accuracy for $5\times10^{-25}\leq T/J\leq 5$. The $\chi(T)$ data agree very well at low T with the asymptotically exact theoretical low-T prediction of S. Lukyanov, Nucl. Phys. B {\bf 522}, 533 (1998). The unknown coefficients of the second and third lowest-order logarithmic correction terms in Lukyanov's theory for C(T) are estimated from the C(T) data.

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