Kaluza-Klein theory of electron-plasmon interaction in a thin cylindrical wire

TL;DR

This paper models electron-plasmon interactions in thin cylindrical wires using a four-dimensional Kaluza-Klein framework, unifying various interactions and offering insights into mesoscopic metallic wire properties at low temperatures.

Contribution

It introduces a novel Kaluza-Klein based approach to unify electron-electron, electron-plasmon, and nonlinear optical interactions in cylindrical wires.

Findings

Unified description of interactions via superchiral charges

Implications for electromagnetic and transport properties

Potential reformulation in classical nonlinear electrodynamics

Abstract

Electron-plasmon interaction in a thin cylindrical wire is described in terms of four-dimensional Kaluza-Klein theory in which angular coordinate of the metal cylinder is considered to be one of the two compactified coordinates. In this model electron-electron, electron-plasmon and nonlinear optical plasmon-plasmon interactions are unified via introduction of effective superchiral charges and fields. Such an approach has important consequences for description of electromagnetic and transport properties of mesoscopic metallic wires and rings at low temperatures, such as recent observation of density-dependent spin polarization in quantum wires. This theory may be consistently reformulated using normal language of classical physics as nonlinear electrodynamics of a rotating medium.