Fast projectile stopping power of two-dimensional strongly correlated electron liquids

TL;DR

This paper investigates the high-velocity stopping power of projectiles in strongly correlated two-dimensional electron liquids, revealing that correlations do not affect the leading term of the asymptotic behavior.

Contribution

It introduces a dielectric formalism approach to analyze the high-velocity limit, showing the robustness of the leading term against correlations in 2D electron liquids.

Findings

Leading term of high-velocity asymptote unaffected by correlations

Use of moments method in dielectric formalism

Validation of results with model Hamiltonian including Coulomb interactions

Abstract

We study the high-velocity-projectile limit of the polarizational contribution to the in-plane stopping power in a strongly coupled two-dimensional electron liquid. The dielectric formalism based on the method of moments is employed. The frequency moments of the loss function are calculated using the model Hamiltonian including the two-dimensional Coulomb interaction potential proportional to the inverse power of k. We prove that the leading term of the high-velocity asymptote, like in the random-phase approximation, is not affected by correlations.