Electric current due to hopping between localized states in a one-dimensional (1D) chain of quantum boxes is characterized by a set of zero minima (antiresonances) due to the momentum selection rule for the interaction of acoustic phonons with Wannier-Stark localized electrons. These antiresonances result from vanishing electron transitions between quantum wells at certain values of the phonon longitudinal momentum due to Bragg reflection. We suggest the possibility for experimental observation of this effect by applying a longitudinal magnetic field to existing superlattices. Antiresonances also arise due to the folded phonon gaps. Elastic scattering and optical phonons result in resonant maxima in the current-voltage characteristics. Owing to Wannier-Stark localization, the longitudinal magnetoresistance is expected to be negative over a substantial range of magnetic fields. We also discuss the general procedure of current calculation and clarify the role of boundary conditions in the hopping regime.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering
- Materials Chemistry