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A reliable Pade analytical continuation method based on a high accuracy symbolic computation algorithm | | K.S.D. Beach
; R.J. Gooding
; F. Marsiglio
; | | Date: |
31 Aug 1999 | | Journal: | to be published in PRB (15th of the month) | | Subject: | Strongly Correlated Electrons; Superconductivity | cond-mat.str-el cond-mat.supr-con | | Affiliation: | Queen’s Univ., Kingston Univ. of Alberta, Edmonton | | Abstract: | We critique a Pade analytic continuation method whereby a rational polynomial function is fit to a set of input points by means of a single matrix inversion. This procedure is accomplished to an extremely high accuracy using a novel symbolic computation algorithm. As an example of this method in action we apply it to the problem of determining the spectral function of a one-particle thermal Green’s function known only at a finite number of Matsubara frequencies with two example self energies drawn from the T-matrix theory of the Hubbard model. We present a systematic analysis of the effects of error in the input points on the analytic continuation, and this leads us to propose a procedure to test quantitatively the reliability of the resulting continuation, thus eliminating the black magic label frequently attached to this procedure. | | Source: | arXiv, cond-mat/9908477 | | Services: | Forum | Review | PDF | Favorites | |
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