Technically diamond? But cutting bits are only large as like 2mm, and are very expensive. Diamond also can't support a very steep cutting edge, so you will be limited by possible edge geometry. Used for machining highly reflective, perfect, mirror finishes on parts.
You actually can sharpen ceramic blades but its a pain and their super brittle. But for cutting light tasks their far far superior. I've used many of them.
I’ve never been able to sharpen them. But I can sharpen my metal knives.
I highly recommend carbon steel Japanese knives. They are absurdly sharp and hold their edge for a long while. They can shatter like this sometimes, though a lot less dramatically, and usually after being dropped. They also need to be treated similar to cast iron, since they can rust if not cared for. Get one with a stainless cladding so you can just sharpen your knife if you accidentally let the blade rust.
Granted, I do a ton of volunteer work that involves a lot of food prep, so I need a knife that is sharp, holds an edge, and chan be sharpened as needed. I hate buying knives that will eventually need to be tossed because I can’t sharpen them. I love my Nakiri and Kiritsuke so much, can’t recommend japanese knives enough.