The calculation of two-and four-particle observables is addressed within the framework of the truncated polynomial expansion method (TPEM). The TPEM replaces the exact diagonalization of the one-electron sector in models for fermions coupled to classical fields such as those used in manganites and diluted magnetic semiconductors. The computational cost of the algorithm is O(N ) -with N the number of lattice sites -for the TPEM which should be contrasted with the computational cost of the diagonalization techn…
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