The static response and the local-field factor of the 2-D electron fluid

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The static local-field factor (LFF) of the interacting 2-D fluid is calculated nonperturbatively using a mapping of the quantum fluid to a classical Coulomb fluid [Phys. Rev. Let., 87, 206 (2002)]. The LFF for the paramagnetic fluid DIFFERS MARKEDLY from expectations from standard perturbation theory. Our result for the LFF has a maximum close to 3kF, while perturbation methods yield a maximum near 2kF. The available quantum Monte Carlo data seem to agree with our results.These findings imply that many effects, e.g., Friedel oscillations, Kohn anomalies, effective electron-electron interactions, etc., are affected by the strong correlations among anti-parallel spins in 2D.