Re: where?
I *think* it's this:
One material, when heated, doesn't increase in temperature: instead it changes shape. Think of it as a third kind of phase-change, like melting or boiling which consume energy without temperature change.
That shape change can exert a force on something else - in this case the two are closely bound together.
The second thing has a strange property: when you bend it, it gets much warmer than a passive material would. Also like a phase-change, like condensation or freezing, which dump energy out.
Thus energy moves from the first material to the second - just once, sure - but it's like a sheet where you blow a flame on one side, and it stays cool (for a while), but the other side of the sheet gets hot instead, and radiates/convects the heat away to air.
This does suggest they can stack, getting much larger temperate deltas, but you'd still need active cooling or radiators on the hot side. But because it's like a phase-change, I don't get how they're thinking you can provide continuous cooling, without replacing the material repeatedly - like sitting an ice cube on it: you need another one soon.