English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Two of the most influential ideas developed by Richard Feynman are theFeynman diagram technique and his variational approach. The former provides apowerful tool to construct a systematic expansion for a generic interactingsystem, while the latter allows optimization of a perturbation theory using avariational principle. Here we show that combining a variational approach witha new diagrammatic quantum Monte Carlo method, both based on the Feynman'soriginal ideas, results in a powerful and accurate solver to the generic solidstate problem, in which a macroscopic number of electrons interact by the longrange Coulomb repulsion. We apply the solver to the quintessential problem ofsolid state, the uniform electron gas (UEG), which is at the heart of thedensity functional theory (DFT) success in describing real materials, yet ithas not been adequately solved for over 90 years. While some wave-functionproperties, like the ground state energy, have been very accurately calculatedby the diffusion Monte Carlo method (DMC), the static and dynamic responsefunctions, which are directly accessed by the experiment, and are crucial fordevelopment of non-local and non-adiabatic density functionals, remain poorlyunderstood. Our method allows us to calculate the momentum-frequency resolvedspin response functions for the first time, and to improve on the precision ofthe charge response function. The accuracy of both response functions issufficiently high, so as to uncover previously missed fine structure in theseresponses. This method can be straightforwardly applied to a large number ofmoderately interacting electron systems in the thermodynamic limit, includingrealistic models of metallic and semiconducting solids.

Feynman's solution of the quintessential problem in solid state physics