Simulation of Graphene Electron Dynamics for Models of Strongly Interacting Nearest Neighbors Based on the Kinetic Approach

Abstract

Ultrafast electron dynamics has become a topical subject of research with the development of means for generating high-intensity laser pulses, which ensure the achievement of a nonlinear regimes of the interaction of light with matter. High-frequency harmonic generation is of particular interest. Graphene stands out among the materials considered as active media due to its specific band structure. An approach based on the quantum kinetic equation to describe such phenomena in this material was developed. Which makes it possible to model the response of its electronic subsystem based on the one-particle Hamiltonian and the dispersion law.
The model of massless fermions has proven itself well since the beginning of active experimental and theoretical studies of grapheme. Its main properties and features were determined using it. It allows, among other things, to reproduce nonlinear effects of interaction with intense external electric fields when using the approach based on the quantum kinetic equation. However, this model is accurate only at low excitation energies in the immediate vicinity of the Dirac points, and already in the energy region of the order of 0.5 eV, its characteristics obviously differ from the properties of a real material. There are many reasons to expect significant contributions from high-energy excited states when studying nonlinear effects in strong fields. For this reason, the transition to a strict account of the strong interaction of nearest neighbors, which fully and sufficiently accurately describes the one-electron states of graphene, is topical. The universality of the approach based on the quantum kinetic equation makes it possible to implement such a transition and, using numerical methods, to study the behavior of the resulting model.

Speaker

Anatolii Panferov
Saratov State University
Russia

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