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New Solutions of the T-Matrix Theory of the Attractive Hubbard Model | | K.S.D. Beach
; R.J. Gooding
; F. Marsiglio
; | | Date: |
10 Dec 1999 | | Subject: | Strongly Correlated Electrons; Superconductivity | cond-mat.str-el cond-mat.supr-con | | Affiliation: | 1,2), R.J. Gooding , and F. Marsiglio ( Physics, MIT; Physics, Queen’s University; Physics, University of Alberta | | Abstract: | This short paper summarizes a calculational method for obtaining the dynamical properties of many-body theories formulated in terms of (unrenormalized) bare propagators (and more generally, in terms of meromorphic functions, or convolutions over meromorphic functions) to a very high accuracy. We demonstrate the method by applying it to a T-matrix theory of the attractive Hubbard model in two dimensions. We expand the pair propagator using a partial fraction decomposition, and then solve for the residues and pole locations of such a decomposition using a computer algebra system to an arbitrarily high accuracy (we used MapleV and obtained these quantities to a relative error of 10^(-80)). Thus, this method allows us to bypass all inaccuracies associated with the traditional analytical continuation problem. Our results for the density of states make clear the pronounced development of a pseudogap as the temperature is lowered in this formulation of the attractive Hubbard model. | | Source: | arXiv, cond-mat/9912177 | | Services: | Forum | Review | PDF | Favorites | |
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