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An efficient algorithm for time propagation within time-dependent density functional theory

Computational Physics 2014-12-03 v1 Chemical Physics

Abstract

An efficient algorithm for time propagation of the time-dependent Kohn-Sham equations is presented. The algorithm is based on dividing the Hamiltonian into small time steps and assuming that it is constant over these steps. This allows for the time-propagating Kohn-Sham wave function to be expanded in the instantaneous eigenstates of the Hamiltonian. The stability and efficiency of the algorithm are tested not just for non-magnetic but also for fully non-collinear magnetic systems. We show that even for delicate properties, like magnetization density, large time-step sizes can be used indicating the stability and efficiency of the algorithm.

Keywords

Cite

@article{arxiv.1412.0996,
  title  = {An efficient algorithm for time propagation within time-dependent density functional theory},
  author = {J. K. Dewhurst and K. Krieger and S. Sharma and E. K. U. Gross},
  journal= {arXiv preprint arXiv:1412.0996},
  year   = {2014}
}

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