Structure of the Local-field factor of the 2-D electron fluid. Possible evidence for correlated scattering of electron pairs

TL;DR

This paper nonperturbatively calculates the static local-field factor of the 2-D electron fluid, revealing a maximum near 3k_F and indicating correlated electron pair scattering, differing from perturbative predictions.

Contribution

It provides a nonperturbative calculation of the 2-D electron fluid's local-field factor, showing significant deviations from perturbation theory and evidence of correlated electron pair scattering.

Findings

LFF differs markedly from perturbation theory predictions.

Maximum in LFF occurs near 3k_F, not 2k_F.

Structure indicates correlated scattering of electron pairs.

Abstract

The static local-field factor (LFF) of the 2-D electron fluid is calculated {\it nonperturbatively} using a mapping to a classical Coulomb fluid $\lbrack$Phys. Rev. Lett., {\bf 87}, 206$\rbrack$. The LFF for the paramagnetic fluid {\it differs markedly} from perturbation theory where a maximum near 2$k_F$ is expected. Our LFF has a quasi-linear small-k region leading to a maximum close to 3$k_F$, in agreent with currently available quantum Monte Carlo data. The structure in the LFF and its dependence on the density and temperature are interpretted as a signature of correlated scattering of electron pairs of opposite spin.The lack of structure at $2k_F$ implies weakened Friedel oscillations, Kohn anomalies etc.