Partial fraction decomposition of the Fermi function

Alexander Croy and Ulf Saalmann
Phys. Rev. B 80, 073102 – Published 7 August 2009; Erratum Phys. Rev. B 82, 159904 (2010)

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.

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  • Received 8 April 2009

DOI:https://doi.org/10.1103/PhysRevB.80.073102

©2009 American Physical Society

Erratum

Authors & Affiliations

Alexander Croy and Ulf Saalmann

  • Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany

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Issue

Vol. 80, Iss. 7 — 15 August 2009

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