Description
We discuss that in the random phase approximation (RPA) the first derivative of the energy with respect to the Green’s function is the self-energy in the GW approximation. This relationship allows us to derive compact equations for the RPA interatomic forces. We also show that position dependent overlap operators are elegantly incorporated in the present framework. The RPA force equations have been implemented in the projector augmented wave formalism, and we present illustrative applications, including ab initio molecular dynamics simulations, the calculation of phonon dispersion relations for diamond and graphite, as well as structural relaxations for water on boron nitride. The present derivation establishes a concise framework for forces within perturbative approaches and is also applicable to more involved approximations for the correlation energy. [1][1] B. Ramberger, T. Schäfer and G. Kresse, Phys. Rev. Lett. 118, 106403 (2017)
Period | 6 Jun 2017 |
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Event title | ETSF Young Researchers' Meeting 2017 |
Event type | Conference |
Location | Tarragona, SpainShow on map |
Degree of Recognition | International |
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Analytic Interatomic Forces in the Random Phase Approximation
Publications: Contribution to journal › Article › Peer Reviewed