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5 October 2015 Time-evolution of wave-packets in topological insulators (Presentation Recording)
Gerson J. Ferreira, Poliana H. Penteado, José Carlos Egues
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Proceedings Volume 9551, Spintronics VIII; 955119 (2015) https://doi.org/10.1117/12.2187989
Event: SPIE Nanoscience + Engineering, 2015, San Diego, California, United States
Abstract
The electronic structure of topological insulators (TIs) are well described Dirac-like equations, e.g. the BHZ model, with a mass term that changes sign at some interface. This simplistic description includes a pseudo-spin-orbit coupling that is intrinsic to the Dirac Hamiltonian. Consequently, the TIs share common properties with the Dirac equation. Among them, the interference between positive and negative energy bands leads to the relativistic oscillatory motion known as the Zitterbewegung. Here we discuss the ballistic time-evolution (pico and nanoseconds) of wave-packets in TIs in the presence of an external electric field. We show that the guiding center of large wave-packets have a finite motion transversal to the electric field equivalent to side-jump in Rashba GaAs. However, for narrow wave-packets the dynamics change and the guiding center description is not complete. We also discuss the reflection of a wave-packet colliding with the edge of the system and the effects of the edge states. Acknowledgement: We acknowledge support from CAPES, CPNq, FAPEMIG, FAPESP, and NAP Q-NANO from PRP/USP.
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Gerson J. Ferreira, Poliana H. Penteado, and José Carlos Egues "Time-evolution of wave-packets in topological insulators (Presentation Recording)", Proc. SPIE 9551, Spintronics VIII, 955119 (5 October 2015); https://doi.org/10.1117/12.2187989
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KEYWORDS
Dielectrics
Gallium arsenide
Motion models
Current controlled current source
Spintronics
Video
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