Abstract
A novel formalism for treating Bloch electron dynamics and quantum transport in electric fields of arbitrary strength and time dependence is presented. In this formalism, the electric field is described through the use of the vector potential; this choice of gauge leads to a natural set of basis functions for describing Bloch electron dynamics in an electric field, even i f the field is inhomogeneous. Quantum transport results for Bloch electrons in a spatial homogeneous but arbitrarily time dependent electric field undergoing elastic scattering from randomly distributed impurities (Kohn-Luttingerrevisited) are presented; that is, a non-linear "Boltzmannequation" is derived with collision integrals involving not only memory and intracollisional field effects, but also including explicit band-mixing transients such as effective mass dressing and Zener tunneling. The application of this formalism to quantum transport in inhomogeneous electric fields is also addressed; specific applications to problems involving tunneling through" band-engineered" tunneling barriers and impurity scattering in electric fields of arbitrary strength and time dependence are discussed.
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.
