Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-09-02
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 8 figures, to be published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.78.235321
The dynamics of charge particles described by Gaussian wave packet in monolayer graphene is studied analytically and numerically. We demonstrate that the shape of wave packet at arbitrary time depends on correlation between the initial electron amplitudes $\psi_1(\vec r,0)$ and $\psi_2(\vec r,0)$ on the sublattices $A$ and $B$ correspondingly (i.e. pseudospin polarization). For the transverse pseudospin polarization the motion of the center of wave packet occurs in the direction perpendicular to the average momentum $ {\vec p_0}=\hbar \vec{k_0}$. Moreover, in this case the initial wave packet splits into two parts moving with opposite velocities along $ {\vec p_0}$. If the initial direction of pseudospin coincides with average momentum the splitting is absent and the center of wave packet is displaced at $t>0$ along the same direction. The results of our calculations show that all types of motion experience {\it zitterbewegung}. Besides, depending on initial polarization the velocity of the packet center may have the constant component $v_c=uf(a)$, where $u\approx 10^8 cm/s$ is the Fermi velocity and $f(a)$ is a function of the parameter $a=k_0d$ ($d$ is the initial width of wave packet). As a result, the direction of the packet motion is determined not only by the orientation of the average momentum, but mainly by the phase difference between the up- and low- components of the wave functions. Similar peculiarities of the dynamics of 2D electron wave packet connected with initial spin polarization should take place in the semiconductor quantum well under the influence of the Rashba spin-orbit coupling.
Demikhovskii Ya. V.
Frolova Elena V.
Maksimova G. M.
No associations
LandOfFree
Wave packet dynamics in a monolayer graphene 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 a monolayer graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wave packet dynamics in a monolayer graphene will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-60759