That sounds cool. What kind of material? Is it a single one for everybody, like a special metal or crystal or some such? Or do different groups use different materials for their magic? Like some favor a special metal while others use a special wood. Maybe a single ingredient that can be added to several things, like alloyed into metals, or fed to trees to make special wood. Just random thoughts.
Edit:
Let me say though, that I am a big fan of Focus items for magic. They provide a visual anchor, imposes physical actions to what may otherwise be dull internalized stuff that is difficult to describe from the outside, and give opportunities for creative limitation. A wand needs to be brandished, and can be taken away. A tattooed symbol is nicely visual and cannot be stolen, but may not lend itself as easily to action poses when the spells start flying. A magic ring is a classic, but has some of the issues with an inert image that the symbol would. I like to tie actions to the spells when I can. It gives me a nice visual to keep coming back to, and makes its use a bit more deliberate. Dresden has to actually point his blasting rod any time he uses it, only has to ready his shield bracelet by "shaking it out" (and that may just be habit) and doesnt have to do anything to get the Duster going. Change those limitations and you have a completely different feel. Imagine if he had to activate the Duster, or if his shield were a constant bubble. What if his blasting rod were a ring, then he could cast and carry stuff at the same time, could cast more readily while immobile, and it would indicate an attitude that doesnt hold the Fire at arms length (injury not withstanding).
Jumping to the Owner issue, you could always do it the star wars way. According to the RPG books, which Im told are considered cannon as far as the world mechanics go (keeps all the different writers on the same page I guess) anyone can use a lightsaber, but its owner had time to attune to it, and so could use it better, and could override your Force control to do things like take it back from you if you aren't careful. Most apprentices start with a generic loaner until they build their own. It takes a special crystal or two, but they can be artificially manufactured, though everyone says the natural ones are best. The crystal determines the colors, which have slightly different behaviors (reds do more raw damage, i think one of the other ones was defensively superior...)
Its shading closer to Harry Potter than you were wanting to go with the attunement, but the construction system is at least less restrictive than one that has like three wand makers in the whole world.