Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems

TL;DR

This paper provides a unified theoretical framework for understanding Zitterbewegung phenomena across various physical systems like spintronics, graphene, and superconductors, simplifying the analysis with vector algebra.

Contribution

It introduces a general method to describe Zitterbewegung phenomena applicable to multiple systems using a simplified vector algebra approach.

Findings

Derived explicit time-dependent position operator expression

Unified treatment applicable to diverse systems

Simplified analysis using vector algebra

Abstract

We present a unified treatment of Zitterbewegung phenomena for a wide class of systems including spintronic, graphene, and superconducting systems. We derive an explicit expression for the time-dependence of the position operator of the quasiparticles which can be decomposed into a mean part and an oscillatory term. The latter corresponds to the Zitterbewegung. To apply our result for different systems one needs to use only vector algebra instead of the more complicated operator algebra.