Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-08-31
to be published in PRB (15th of the month)
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 8 eps figs, revtex format; revised version includes reference to anonymous ftp site containing example codes (MapleV
Scientific paper
10.1103/PhysRevB.61.5147
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.
Beach K. S. D.
Gooding R. J.
Marsiglio Frank
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