Discrete approach to incoherent excitations in conductors

TL;DR

This paper presents a discrete reciprocal space method for calculating incoherent electron-hole excitations in conductors, exemplified on the jellium model, and derives a sum rule for plasmon dispersion.

Contribution

It introduces a discrete reciprocal space approach for incoherent excitations and formulates a sum rule for plasmon dispersion in Fermi liquids.

Findings

Calculated incoherent excitation spectrum in jellium model

Derived a sum rule for plasmon dispersion

Illustrated the method within the random phase approximation

Abstract

Keeping the discretness of the reciprocal space we calculate the spectrum of incoherent electron-hole excitations in the conducting Fermi liquids. The metod is illustrated on the well-known jellium model within the random phase approximation. It also leads to the formulation os a sum rule from which we get the details os dispersion curve for the collective plasmon mode. The notion of time averaging in the discrete approach is briefly recalled.