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Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices

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Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization.

S V Kryuchkov¹, E I Kukhar'¹

¹Physical Laboratory of Low-Dimensional Systems, Volgograd State Socio-Pedagogical University, V.I. Lenin Avenue, 27, 400066 Volgograd, Russia.

Chaos (Woodbury, N.Y.)

|August 3, 2015

Summary

Researchers explored solitary electromagnetic wave formation in graphene superlattices. Dynamic chaos in electrons appears under specific electromagnetic radiation frequencies, with critical amplitude varying with frequency.

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Area of Science:

Condensed matter physics
Nonlinear dynamics
Materials science

Background:

Graphene superlattices exhibit unique electronic properties.
Electromagnetic radiation can influence electron behavior in materials.
Understanding nonlinear phenomena is crucial for advanced applications.

Purpose of the Study:

To investigate the formation of solitary electromagnetic waves in graphene superlattices.
To analyze the chaotic behavior of electrons under electromagnetic radiation.
To determine the conditions for dynamic chaos appearance and its frequency dependence.

Main Methods:

Utilized the Melnikov method to study electron subsystem dynamics.
Investigated the frequency dependence of critical radiation amplitude.
Analyzed intervals of incident electromagnetic radiation frequencies.

Main Results:

Demonstrated the possibility of solitary electromagnetic wave formation.
Identified specific frequency intervals where dynamic chaos of electrons occurs.
Found that critical amplitude for chaos appearance is frequency-dependent.
Discovered radiation frequencies where critical amplitude increases indefinitely.

Conclusions:

Graphene superlattices can support solitary electromagnetic waves.
Dynamic chaos in electrons is controllable via electromagnetic radiation frequency.
The critical amplitude threshold for chaos is a key parameter influenced by radiation frequency.