Moments of general Heisenberg Hamiltonians up to sixth order

Details Moments of general Heisenberg Hamiltonians up to sixth order Moments of general Heisenberg Hamiltonians up to sixth order

2010-12-19

arxiv.org/abs/1012.4166v3

Physics

Condensed Matter

Statistical Mechanics

With additional references

Scientific paper

We explicitly calculate the moments t_n of general Heisenberg Hamiltonians up to sixth order. They have the form of finite sums of products of two factors, the first factor being represented by a multigraph and the second factor being a polynomial in the variable s(s + 1), where s denotes the individual spin quantum number. As an application we determine the corresponding coefficients of the expansion of the free energy and the zero field susceptibility in powers of the inverse temperature. These coefficients can be written in a form which makes explicit their extensive character.

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