Email this article Analysis of the stability of states of semiconductor superlattice in the presence of tilted magnetic field
- Authors: Maksimenko V.A.1, Makarov V.V.1, Koronovskii A.A.1,2, Hramov A.E.1,2
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Affiliations:
- Yuri Gagarin State Technical University of Saratov
- Saratov State University
- Issue: Vol 61, No 3 (2016)
- Pages: 317-323
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/196911
- DOI: https://doi.org/10.1134/S1063784216030154
- ID: 196911
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Abstract
A method to calculate the spectrum of the Lyapunov exponents for a periodic semiconductor nanostructure (superlattice) described in the framework of a semiclassical approach is proposed. The analysis of the stability of a stationary state in such a system is performed for autonomous dynamics and in the presence of a tilted magnetic field. The method of the Lyapunov exponents is used to study the effect of the tilted magnetic field on the stability of the stationary state and the characteristics of subterahertz oscillation regimes.
About the authors
V. A. Maksimenko
Yuri Gagarin State Technical University of Saratov
Email: hramovae@gmail.com
Russian Federation, Politekhnicheskaya ul. 77, Saratov, 410054
V. V. Makarov
Yuri Gagarin State Technical University of Saratov
Email: hramovae@gmail.com
Russian Federation, Politekhnicheskaya ul. 77, Saratov, 410054
A. A. Koronovskii
Yuri Gagarin State Technical University of Saratov; Saratov State University
Email: hramovae@gmail.com
Russian Federation, Politekhnicheskaya ul. 77, Saratov, 410054; Astrakhanskaya ul. 83, Saratov, 410012
A. E. Hramov
Yuri Gagarin State Technical University of Saratov; Saratov State University
Author for correspondence.
Email: hramovae@gmail.com
Russian Federation, Politekhnicheskaya ul. 77, Saratov, 410054; Astrakhanskaya ul. 83, Saratov, 410012
