The high-temperature expansion of the spin-½ XY model is shown to be particularly simple when the Hamiltonian is written in the second-quantization form. By aid of a few simple rules, the partition function and susceptibility are easily evaluated to high orders.
A simple Monte Carlo high-temperature expansion method to evaluate the partition function of quantum spin systems which was proposed in the previous paper l) is improved so that all of the needed expansion-coefficients are obtained from interpolating points of less than ten with an interpolation formula. By this improvement, this method is applicable to the finite spin-systems of rather large spin size regardless of dimensionality of the system. As an example, the method is applied to the one-dimensional spin-l/2 isotropic Heisenberg ferromagnetic system.