Diagonal Pad\'e Approximant of the one-body Green's function, a study on Hubbard rings
classification
❄️ cond-mat.str-el
keywords
approximantsdiagonalexpansionfunctiongreenhubbardtermsapproximant
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Pad\'e approximants to the many-body Green's function can be built by rearranging terms of its perturbative expansion. The hypothesis that the best use of a finite number of terms of such an expansion is given by the subclass of diagonal Pad\'e approximants is here tested, and largely confirmed, on a solvable model system, namely the Hubbard ring for a variety of site numbers, fillings and interaction strengths.
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