Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain

Details Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain

2002-05-09

arxiv.org/abs/cond-mat/0205180v1

Phys. Rev. Lett. 89, 117201 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, 2 tables

Scientific paper

10.1103/PhysRevLett.89.117201

Recently a new integral equation describing the thermodynamics of the 1D Heisenberg model was discovered by Takahashi. Using the integral equation we have succeeded in obtaining the high temperature expansion of the specific heat and the magnetic susceptibility up to O((J/T)^{100}). This is much higher than those obtained so far by the standard methods such as the linked-cluster algorithm. Our results will be useful to examine various approximation methods to extrapolate the high temperature expansion to the low temperature region.

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