English

A partial fraction decomposition of the Fermi function

Other Condensed Matter 2009-08-10 v1

Abstract

A partial fraction decomposition of the Fermi function resulting in a finite sum over simple poles is proposed. This allows for efficient calculations involving the Fermi function in various contexts of electronic structure or electron transport theories. The proposed decomposition converges in a well-defined region faster than exponential and is thus superior to the standard Matsubara expansion.

Keywords

Cite

@article{arxiv.0903.4824,
  title  = {A partial fraction decomposition of the Fermi function},
  author = {Alexander Croy and Ulf Saalmann},
  journal= {arXiv preprint arXiv:0903.4824},
  year   = {2009}
}

Comments

7 pages, 5 figures

R2 v1 2026-06-21T12:45:19.497Z