Abstract
We develop a theory of self-organized spatio-temporal structures arising in charge transport parallel to the layers of a modulation doped GaAs/Al x Ga 1- x As heterostructure far from thermodynamic equilibrium. An applied electric field causes heating of the high-mobility electrons in the GaAs channel and real space transfer of hot electrons into the low-mobility Al x Ga 1- x As layer. The time scale separation between fast real space transfer and slow dielectric relaxation leads to slow-fast behavior of the dynamic system, and to excitability of the medium. In the monostable and bistable regimes we predict the existence of stable solitary waves of the electric field and the carrier distribution using methods of singular perturbation theory. These correspond to travelling fronts, and to travelling field domains and pulses of real-space transferred electrons, respectively.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
