Nonlinear electromagnetic response of a uniform electron gas

Abstract

The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same approach we derive analytical expressions for the second- and third-order nonlinear polarizabilities of the three-, two- and one-dimensional homogeneous electron gases with the parabolic electron energy dispersion. The results are valid both for degenerate (Fermi) and non-degenerate (Boltzmann) electron gases. A resonant enhancement of the second and third harmonics generation due to a combination of the single-particle and collective (plasma) resonances is predicted.

5 pages, 4 figures

Cited by in corpus (6)

• Theory of plasmonic effects in nonlinear optics: the case of graphene
• Frenetic aspects of second order response
• Nonlinear density response from imaginary-time correlation functions: Ab initio path integral Monte Carlo simulations of the warm dense electron gas
• Second harmonic generation in graphene dressed by a strong terahertz field
• Unravelling the nonlinear ideal density response of many-body systems
• Density-Functional-Theory Perspective on the Non-Linear Response of Correlated Electrons Across Temperature Regimes