Zitterbewegung of a heavy hole in presence of spin-orbit interactions

Abstract

We study the $zitterbewegung$ of a heavy hole in presence of both cubic Rashba and cubic Dresselhaus spin-orbit interactions. On contrary to the electronic case, $zitterbewegung$ does not vanish for equal strength of Rashba and Dresselhaus spin-orbit interaction. This non-vanishing of $zitterbewegung$ is associated with the Berry phase. Due to the presence of the spin-orbit coupling the spin associated with the heavy hole precesses about an effective magnetic field. This spin precession produces a transverse spin-orbit force which also generates an electric voltage associated with $zitterbewegung$. We have estimated the magnitude of this voltage for a possible experimental detection of $zitterbewegung$.

6 pages, 3 figures

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Cited by in corpus (7)

• Spin-orbit interactions in inversion-asymmetric 2D hole systems: a variational analysis
• Generating a topological anomalous Hall effect in a non-magnetic conductor
• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Strong influence of spin-orbit coupling on magnetotransport in two-dimensional hole systems
• Signatures of quantum mechanical Zeeman effect in classical transport due to topological properties of two-dimensional spin-3/2 holes
• Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes
• Polarization and third-order Hall effect in III-V semiconductor heterojunctions