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Physically interpretable approximations of many-body spectral functions.
- Source :
-
Physical review. E [Phys Rev E] 2024 Jan; Vol. 109 (1-2), pp. 015302. - Publication Year :
- 2024
-
Abstract
- The rational function approximation provides a natural and interpretable representation of response functions such as the many-body spectral functions. We apply the vector fitting (VFIT) algorithm to fit a variety of spectral functions calculated from the Holstein model of electron-phonon interactions. We show that the resulting rational functions are highly efficient in their fitting of sharp features in the spectral functions, and could provide a means to infer physically relevant information from a spectral data set. The position of the peaks in the approximated spectral function are determined by the location of poles in the complex plane. In addition, we developed a variant of VFIT that incorporates regularization to improve the quality of fits. With this procedure, we demonstrate it is possible to achieve accurate spectral function fits that vary smoothly as a function of physical conditions.
Details
- Language :
- English
- ISSN :
- 2470-0053
- Volume :
- 109
- Issue :
- 1-2
- Database :
- MEDLINE
- Journal :
- Physical review. E
- Publication Type :
- Academic Journal
- Accession number :
- 38366449
- Full Text :
- https://doi.org/10.1103/PhysRevE.109.015302