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Physically interpretable approximations of many-body spectral functions.

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Summary

Rational function approximation using vector fitting (VFIT) accurately represents spectral functions. This method efficiently captures sharp features and allows smooth variation with physical conditions.

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Area of Science:

  • Condensed Matter Physics
  • Computational Physics

Background:

  • Response functions, like many-body spectral functions, are crucial for understanding material properties.
  • Rational function approximation offers an interpretable way to represent complex spectral data.

Purpose of the Study:

  • To apply the vector fitting (VFIT) algorithm for fitting spectral functions derived from the Holstein model.
  • To evaluate the efficiency and accuracy of rational function approximation for spectral data analysis.

Main Methods:

  • Application of the vector fitting (VFIT) algorithm to spectral functions.
  • Development of a regularized variant of VFIT for improved fit quality.
  • Analysis of spectral functions calculated from the Holstein model of electron-phonon interactions.

Main Results:

  • VFIT efficiently fits sharp features in spectral functions.
  • Rational functions provide accurate approximations, with peak positions linked to poles in the complex plane.
  • Regularized VFIT yields smooth spectral function fits across varying physical conditions.

Conclusions:

  • Rational function approximation, particularly with VFIT, is a powerful tool for analyzing spectral functions.
  • This approach facilitates the extraction of physically relevant information from spectral data.
  • The method enables accurate and smooth characterization of spectral properties under changing conditions.