We're talking about 'Purple Dragon' creeping lamium (Lamium maculatum 'Purple Dragon ... although it is not invasive. However, if you wish, you can trim the plants back if you want to accelerate ...

Purple Dragon' dead nettle (Lamium maculatum 'Purple Dragon') is a fast ... This ground cover is non-invasive, grows to a similar height, and produces purplish-pink flowers that will nicely ...