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An antiferromagnetic insulator (AFI) bearing a compensated interface to anadjacent conventional superconductor (S) has recently been predicted togenerate N\'eel triplet Cooper pairs, whose amplitude alternates sign in space.Here, we theoretically demonstrate that such N\'eel triplets enable control ofthe superconducting critical temperature in an S layer via the angle betweenthe N\'eel vectors of two enclosing AFI layers. This angle dependence changessign with the number of S monolayers providing a distinct signature of theN\'eel triplets. Furthermore, we show that the latter mediate a similarlydistinct exchange interaction between the two AFIs' N\'eel vectors.

Complete $T_c$ suppression and N\'eel triplets-mediated exchange in antiferromagnet-superconductor-antiferromagnet trilayers