Abstract

The interaction of high-frequency pulsed electric fields with graphene is currently the subject of intense research. The paper presents the results of testing a software system for modeling such processes using the example of ultrashort laser pulses of the optical range with different polarizations. The authors develop the system on a base of a new theoretical approach based on the quantum kinetic equation. The approach contains a computational model for a new system of ordinary differential equations with non-linearly dependent on time and problem parameters coefficients. The need to analyze the behavior of solutions of this system of equations in the field of changing several parameters leads to the polynomial computational complexity. The lack of knowledge of the nature of the parametric dependence of solutions requires several iterations of the choice of covering grids. The paper describes the adaptation of this modeling system for use in massively parallel computing systems.

Highlights

  • The features of optical radiation interaction with new two-dimensional or pseudo-two-dimensional materials realized in the form of monoatomic or monomolecular layers on substrates or in the free state are intensively studied

  • Due to the extremely high mobility of charge carriers [2, 3] and unusual optoelectric properties, [4,5,6] it can be used in the development of new Supported by RFBR according to the research project 18-07-00778

  • The present work considers a test problem, which is devoted to demonstrating the capabilities of the developed software system for simulating the behavior of charge carriers in graphene in the presence of external electric fields of various nature using a new kinetic quantum field approach [14]

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Summary

Introduction

The features of optical radiation interaction with new two-dimensional or pseudo-two-dimensional materials realized in the form of monoatomic or monomolecular layers on substrates or in the free state are intensively studied. Interesting are its nonlinear properties in the infrared region of the spectrum and optical range, leading to the generation of high-frequency harmonics [10,11,12,13] This direction requires complex experimental technologies and using of unique equipment. The present work considers a test problem, which is devoted to demonstrating the capabilities of the developed software system for simulating the behavior of charge carriers in graphene in the presence of external electric fields of various nature using a new kinetic quantum field approach [14] The universality of this approach makes it possible to consider electric fields with an arbitrary dependence on time, including a variable direction of action. We test the system on the problem with realistic parameters under the conditions of experiments presented in the works [15, 16]

Physical model
Software implementation
Results of numerical simulation
Conclusion

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