A partial fraction decomposition of the Fermi function

Details A partial fraction decomposition of the Fermi function A partial fraction decomposition of the Fermi function

2009-03-27

arxiv.org/abs/0903.4824v1

Phys. Rev. B 80, 073102 (2009)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.80.073102

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.

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