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Updated: Jun 2, 2026

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Published on: April 8, 2020
Robust acceleration of self consistent field calculations for density functional theory
1Department of Mathematics and Systems Analysis, Aalto University School of Science, Espoo, Finland. kurt.baarman@tkk.fi
Abstract:
We show that the type 2 Broyden secant method is a robust general purpose mixer for self consistent field problems in density functional theory. The Broyden method gives reliable convergence for a large class of problems and parameter choices. We directly mix the approximation of the electronic density to provide a basis independent mixing scheme. In particular, we show that a single set of parameters can be chosen that give good results for a large range of problems. We also introduce a spin transformation to simplify treatment of spin polarized problems. The spin transformation allows us to treat these systems with the same formalism as regular fixed point iterations.
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