  Interband and intraband transitions are fundamental concepts in the study of
electronic properties of materials, particularly semiconductors and
nanomaterials. These transitions involve the movement of electrons between
distinct energy states or bands within a material. Besides, charge mobility is
also a critical parameter in materials science and electronics. A thorough
understanding of these transitions and mobility is critical for the development
and optimization of advanced electronic and optoelectronic devices. In this
study, we investigate the influence of external periodic drivings on interband
and intraband transitions, as well as charge mobility, within a driven two-band
model that includes electron-phonon coupling. These external periodic drivings
can include a periodic laser field, a time-varying magnetic or electric field,
or an alternating current (AC) voltage source. We have developed the Floquet
surface hopping (FSH) and Floquet mean field (FMF) methods to simulate
electronic dynamics under various drivings in both real and reciprocal spaces.
Our findings demonstrate that periodic drivings can enhance interband
transitions while suppressing intraband transitions. Additionally, charge
mobility is restrained by these external periodic drivings in the driven
two-band model.
