Plasmon dispersion in quasi-one and one-dimensional systems with non-magnetic impurities

TL;DR

This paper investigates how non-magnetic impurities affect plasmon dispersion in quasi-one-dimensional quantum wires, providing analytical and numerical insights into impurity-induced plasma frequency reduction.

Contribution

It introduces an analytical calculation of plasmon dispersion considering impurity scattering, extending previous numerical studies with a formal theoretical approach.

Findings

Impurities reduce the plasma frequency in quantum wires.

Analytical results agree with numerical simulations.

Forward scattering plays a significant role in plasmon behavior.

Abstract

We calculate the plasmon dispersion in quasi-one-dimensional quantum wires, in the presence of non-magnetic impurities, taking into consideration the memory function formalism and the role of the forward scattering. The plasma frequency is reduced by the presence of impurities. We also calculate, analytically, the plasmon dispersion in the Born approximation, for the scattering of the electrons by the non-magnetic impurities. We compare our result with the numerical results of Sarma and Hwang.