Nonadiabatic effects in a self-consistent Hartree model for electrons under an ac electric field in multiple quantum wells

Abstract

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Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

“…where γ 2 is the energy-relaxation rate constant and E 0 is the average electron energy at the thermal equilibrium, and the thermal energy exchange of the electrons with the crystal lattice [135] is approximately described by the γ 2 term. Applying the Kirchoff's theorem to a resistively shunted quantum-dot superlattice [93], one obtains [136] the dynamical equation for the induced space-charge field E sc (t) as…”

“…where γ 3 , which is inversely proportional to the product of the system resistance and the quantum capacitance, is the dielectric relaxation rate constant [136], n 0 is the electron concentration at the thermal equilibrium, and ǫ b is the relative dielectric constant of the host semiconductor material. The exact microscopic calculations of γ 1 and γ 2 in the absence of space-charge field were carried out previously [137] based on the semiclassical Boltzmann transport equation and the coupled force-energy balance equations [101], respectively.…”