Unravelling the nonlinear ideal density response of many-body systems

Panagiotis ToliasTobias DornheimZhandos A. MoldabekovJan Vorberger

Mar 2023

摘要

Nonlinear density response theory is revisited focusing on the harmonicallyperturbed finite temperature uniform electron gas. Within the non-interactinglimit, brute force quantum kinetic theory calculations for the quadratic,cubic, quartic and quintic responses reveal a deep connection with the linearresponse. Careful analysis of the static long wavelength limit led us toconjecture a canonical non-interacting form that expresses arbitrary ordernonlinear responses as the weighted sum of the linear responses evaluated atall multiple harmonics. This harmonic expansion is successfully validatedagainst ab initio path integral Monte Carlo simulations

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