Dynamics of holes wave-packets under Rashba spin-orbit coupling

R. Cuan, Leovildo Diago-Cisneros


The dynamics of a Gaussian wave-packet of heavy holes is studied in the presence of Rashba spin-orbit interaction for a quasi-one-dimensional semiconductor system. A finite-difference scheme, based on the Cayley approach, has been extended to solve the time-dependent Schrödinger equation for holes. It is shown the phenomenon of hole-spin precession via a numerical simulation of the temporal evolution of the components of the wave-packet. It is possible to evaluate relevant parameters, e. g. dimensions and the spin polarization flip-time, when a spin field effect transistor device, is modeled for holes as carriers.


Spintronics; spin-orbit coupling; spin-polarized transport in semiconductors; spin field effect transistors


Awschalom, David. D. and Michael. E. Flatté. (2007). Challenges for semiconductor Spintronics. Nature Phys. 3:153-159.

Bonfanti-Escalera, Giacomo G. (2008). Inecuación de Heisenberg entre tiempo y energía: Interpretaciones, Falacias y Aplicaciones. Diploma Thesis, Universidad Iberoamericana-Universidad de La Habana.

Bychkov, Yu. A. and Emmanuel I. Rashba. (1984). Oscillatory effects and the magnetic susceptibility of carriers in inversion layers. J. Phys. C: Solid State Phys. 17: 6039-6045.

Cuan, R. and L. Diago-Cisneros. (2010). Dispersión dependiente del espín de paquetes de ondas de huecos en hilos cuánticos. Rev. Cub. Fis. 27 (2B): 212-218.

Datta, Supriyo and Biswajit Das. (1990). Electronic analog of the electro-optic modulator. Appl. Phys. Lett. 56 (7): 665-667.

Goldberg, Abraham, Harry M. Schey and Judah L. Schwartz. (1967). Computer-generated motion pictures of one-dimensional quantum-mechanical transmission and reflection phenomena. Am. J. Phys. 35 (3): 177-186.

Governale, Michele and Ulrich Zülicke. (2003). Filtering spin with tunnel-coupled hole quantum wires. J. Supercond 16 (2): 257-260.

Guzenko, V. A., J. Knobbe, H. Hardtdegen, Th. Schäpers and A. Bringer. (2006). Rashba effect in InGaAs/InP parallel quantum wires. Appl. Phys. Lett 88 (3): 032102 1-3.

Gvozdic´, D. M. and U. Ekenberg. (2006). Investigation of the super-efficient Rashba effect by simulation of Shubnikov–de Haas oscillations in a two-dimensional hole gas. Physica E 34: 377-380.

Häusler, Wolfgang. (2004). Dephasing in Rashba spin precession along multichannel quantum wires and nanotubes. Phys. Rev. B 70: 115313 1-6.

Jordan, Charles. (1950). Calculus of finite differences. New York: Chelsea Publishing Company.

Ochoa-Fajardo, Marysol. (2006). Estudio de la dinámica de paquetes de onda espín polarizados en presencia de acoplamiento espín-órbita. Diploma Thesis, Universidad Autónoma de Baja California.

Pala, Marco G., Michele Governale, Jürgen König, Ulrich Zülicke and Giuseppe Iannaccone. (2004). Two-dimensional hole precession in an all-semiconductor spin field effect transistor. Phys. Rev. B 69: 045304 1-9.

Pereyra, Pedro and Herbert P. Simanjuntak. (2007), Time evolution of electromagnetic wave packets through superlattices: Evidence for superluminal velocities. Phys. Rev. E 75: 056604 1-7.

Sánchez, David, Llorenç Serra and Mahn-Soo Choi. (2008). Strongly modulated transmission of a spin-split quantum wire with local Rashba interaction. Phys. Rev. B 77: 035315 1-11.

Tung, Hsin-Han and Chien-Ping Lee. (1996). An energy band-pass filter using superlattice structures. IEEE Journal of Quantum Electronics 32 (3): 507-512.

Tung, Hsin-Han and Chien-Ping Lee. (1996). A novel energy filter using semiconductor superlattices and its application to tunneling time calculations. IEEE Journal of Quantum Electronics 32 (12): 2122-2127.

Vurgaftman, I., J. R. Meyer and L. R. Ram-Mohan. (2001). Band parameters for III-V compound semiconductors and their alloys. J. Appl. Phys. 89 (11): 5815-5875.

Winkler, R., H. Noh, E. Tutuc and M. Shayegan. (2002). Anomalous Rashba spin splitting in two-dimensional hole systems. Phys. Rev. B, 65: 155303 1-4.

DOI: https://doi.org/10.21640/ns.v5i9.158


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