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We have developed a new method for evaluating the specific heat of latticespin systems. It is based on the knowledge of high-temperature seriesexpansions, the total entropy of the system and the low-temperature expectedbehavior of the specific heat as well as the ground-state energy. By the choiceof an appropriate variable (entropy as a function of energy), a stableinterpolation scheme between low and high temperature is performed. Contrary toprevious methods, the constraint that the total entropy is log(2S+1) for a spinS on each site is automatically satisfied. We present some applications toquantum spin models on one- and two- dimensional lattices. Remarkably, in mostcases, a good accuracy is obtained down to zero temperature.Comment: 10 pages (RevTeX 4) including 11 eps figures. To appear in Phys. Rev.

Specific heat and high-temperature series of lattice models: Interpolation scheme and examples on quantum spin systems in one and two dimensions