Powering the Small HD focus 5 inch from Dtap on a Vmount battery?

Hey all! I'm wondering if anyone knows what accessories to get to power the small HD focus 5 inch monitor from a vmount battery on the back of my camera. I just used a rental rig with the atomos shinobi that had this adapter slotted in to the battery slot of the shinobi, and then used a DTAP to barrel cable to power it. I can't find a similar adapter to do the same thing with the Small HD Focus. Does anyone know if it exists? Is it the case that this L-series atomos adapter the same battery type the small HD takes, so it would it actually work for the small hd?