As a sibling comment notes, the first layer of spins is usually made of atoms, and arranged in a crystal, and when the temperature is high enough the crystal will melt and you will not have the nice layer of spin anymore. The second layer is too close to magic, but I guess they will need to be supported by atoms and they will melt too.
Also, I don't understand how this system is related to superconductivity as they say in the article. I see no Cooper pairs, and my understanding of high temperature superconductivity is too weak, but it's about something line flux pinning and it doesn't look related at all.
I've sent a lengthy email to Atomic Rockets strongly suggesting that cloaking devices are back on the menu. No reply yet and I know I've said this a few dozen times before but I really think we got 'em this time!