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We present a new algorithm to evaluate the grand potential at finite andhigh-temperature series expansion via many-body perturbation theory. Thisalgorithm allows us to formulate each order as a divided difference. Further,we apply this algorithm to the Heisenberg spin-1/2 XXZ chain. We obtain allcoefficients of the high-temperature expansion of the free energy andsusceptibility per site of this model up to sixth order.

Finite and High-temperature series expansion via many-body perturbation theory