Approximate Solutions of a Kinetic Theory for Graphene

Abstract

The effective mass approximation is analysed in a nonperturbative kinetic theory approach to strong field excitations in graphene [1,2]. This problem is highly actual for the investigation of quantum radiation from graphene [3], where the collision integrals in the photon kinetic equation are rather complicated functionals of the distribution functions of the charge carriers. These functions are needed in the explicit analytical definition as solutions of the kinetic equations for the electron-hole excitations. In the present work it is shown that the suggested approach is rather effective in a certain range of parameters for the pulse of an external electromagnetic field. For example, the applicability condition of the approximation in the case of a harmonic field is $\hslash {\omega }^2/(\sqrt{2}e{E}_0{v}_F)<1$, were $v_F$ is the Fermi velocity. In the standard massive quantum electrodynamics the usability of the analogical approximation is very narrow.

arXiv comment14 pages, 3 figures

References in corpus (11)

• Gauge fields in graphene
• The Quantum Vlasov Equation and its Markov Limit
• A quantum kinetic equation for particle production in the Schwinger mechanism
• Petahertz optical response in graphene
• Non-Markovian effects in strong-field pair creation
• Dirac fermions in strong electric field and quantum transport in graphene
• Creation of quasiparticles in graphene by a time-dependent electric field
• On the kinetic equation approach to pair production by time-dependent electric field
• Signature of Schwinger's pair creation rate via radiation generated in graphene by strong electric current
• Kinetic description of vacuum $e^{+}{e}^{-}$ production in strong electric fields of arbitrary polarization
• Kinetic equation approach to graphene in strong external fields