Arbitrary-Order Density Functional Response Theory from Automatic Differentiation

作者:Ekstrom Ulf*; Visscher Lucas; Bast Radovan; Thorvaldsen Andreas J; Ruud Kenneth
来源:Journal of Chemical Theory and Computation, 2010, 6(7): 1971-1980.
DOI:10.1021/ct100117s

摘要

We demonstrate how the functional derivatives appearing in perturbative time-dependent density functional theory can be calculated using automatic differentiation. The approach starts from a computer implementation of the exchange-correlation energy functional, from which arbitrary-order derivatives are generated automatically. Automatic differentiation is shown to provide an accurate, general, and efficient implementation of higher-order exchange-correlation functional derivatives that is easy to maintain. When used in combination with an arbitrary-order response solver, the methodology allows us to generate arbitrary-order response functions from time-dependent density functional theory.

  • 出版日期2010-7