Numerical solution of large scale Hartree–Fock–Bogoliubov equations

DOI10.1051/m2an/2020074OpenAlexW3134331746MaRDI QIDQ5154001

Lin Lin, Xiaojie Wu

Publication date: 1 October 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10157

zbMATH Keywords

superconductivityHartree-Fock-BogoliubovHubbard-Hofstadterpole expansion and selected inversion

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Eigenvalues, singular values, and eigenvectors (15A18) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fermionic systems in quantum theory (81V74)

Uses Software

• SuperLU-DIST
• ScaLAPACK
• SelInv
• ELPA
• Pselinv

Cites Work

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• Self-consistent solution for the polarized vacuum in a no-photon QED model
• A numerical perspective on Hartree−Fock−Bogoliubov theory
• SuperLU_DIST
• Theory of Superconductivity

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