Zitterbewegung damping in structures based on Dirac crystals

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Abstract

The possibilities of controlling the time of damping of Zitterbewegung oscillations in graphene and graphene superlattice have been investigated. The decay time of Zitterbewegung oscillations in graphene in the presence of high-frequency radiation has been calculated. An increase in the duration of the Zitterbewegung with the inclusion of an alternating field has been explicitly demonstrated. The decay time of the Zitterbewegung for a graphene superlattice has been shown to be controlled by changing the ratio between the period of the superlattice and the width of the electron wave packet.

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About the authors

E. I. Kukhar

Volgograd State Technical University

Author for correspondence.
Email: eikuhar@yandex.ru
Russian Federation, Volgograd

S. V. Kryuchkov

Volgograd State Technical University; Volgograd State Socio-Pedagogical University

Email: eikuhar@yandex.ru
Russian Federation, Volgograd; Volgograd

N. A. Ivanov

Volgograd State Technical University

Email: eikuhar@yandex.ru
Russian Federation, Volgograd

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2. Fig. 1. Electron group velocity in graphene as a function of time in the presence (solid line) and in the absence (dashed line) of RF radiation. 1) E0 = 0.5 kV - m-1; 2) E0 = 1.0 kV - m-1; 3) E0 = 2.0 kV - m-1

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3. Fig. 2. Electron group velocity in the GSR as a function of time for d:b = 1:10 (solid line) and d = b (dashed line). 1) Centre of the mini-zone; 2) ceiling of the mini-zone

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