Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-12-02
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, 8 gigure
Scientific paper
For hole systems with an effective spin 3/2 we analyzed analytically and numerically the evolution of wave packets with the different initial polarizations. The dynamics of such systems is determined by the $4\times 4$ Luttinger Hamiltonian. We work in the space of arbitrary superposition of light- and heavy-hole states of the "one-particle system". For 2D packets we obtained the analytical solution for the components of wave function and analyzed the space-time dependence of probability densities as well as angular momentum densities. Depending on the value of the parameter $a=k_0d$ ($k_0$ is the average momentum vector and $d$ is the packet width) two scenarios of evolution are realized. For $a>>1$ the initial wave packet splits into two parts and the coordinates of packet center experience the transient oscillations or {\it Zitterbewegung} (ZB) as for other two-band systems. In the case when $a<<1$ the distribution of probability density at $t>0$ remains almost cylindrically symmetric and the ripples arise at the circumference of wave packet. The ZB in this case is absent. We evaluated and visualized for different values of parameter $a$ the space-time dependence of angular momentum densities, which have the multipole structure. It was shown that the average momentum components can precess in the absence of external or effective magnetic fields due to the interference of the light- and heavy hole states. For localized initial states this precession has a transient character.
Demikhovskii Ya. V.
Frolova Elena V.
Maksimova G. M.
No associations
LandOfFree
Wave packet dynamics in hole Luttinger systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wave packet dynamics in hole Luttinger systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wave packet dynamics in hole Luttinger systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-508277