We present a new
velocity-gauge real-time, time-dependent density
functional tight-binding (VG-rtTDDFTB) implementation in the open-source
DFTB+ software package (https://dftbplus.org) for probing electronic excitations in large, condensed matter systems.
Our VG-rtTDDFTB approach enables real-time electron dynamics simulations
of large, periodic, condensed matter systems containing thousands
of atoms with a favorable computational scaling as a function of system
size. We provide computational details and benchmark calculations
to demonstrate its accuracy and computational parallelizability on
a variety of large material systems. As a representative example,
we calculate laser-induced electron dynamics in a 512-atom amorphous
silicon supercell to highlight the large periodic systems that can
be examined with our implementation. Taken together, our VG-rtTDDFTB
approach enables new electron dynamics simulations of complex systems
that require large periodic supercells, such as crystal defects, complex
surfaces, nanowires, and amorphous materials.