Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns

Quasiperiodicity has long been known to be a potential platform to explore exotic phenomena, realizing an intricate middle point between ordered solids and disordered matter. In particular, quasiperiodic structures are promising playgrounds to engineer critical wave functions, a powerful starting point to engineer exotic correlated states. Here we show that systems hosting a quasiperiodic modulation of antiferromagnetism and spin-singlet superconductivity, as realized by atomic chains in twisted van der Waals materials, host a localization-delocalization transition as a function of the coupling strength. Associated with this transition, we demonstrate the emergence of a robust quasiperiodic critical point for arbitrary incommensurate potentials, which appears for generic relative weights of the spin-singlet superconductivity and antiferromagnetism. We show that inclusion of residual electronic interactions leads to an emergent spin-triplet superconducting state, which gets dramatically enhanced at the vicinity of the quasiperiodic critical point. Our results put forward quasiperiodicity as a powerful knob to engineer robust superconducting states, providing an alternative pathway towards artificially designed unconventional superconductors.

Automated summary

Quasiperiodicity is a powerful tool to explore exotic phenomena and engineer unconventional superconductors, serving as a middle ground between ordered solids and disordered matter. Systems with quasiperiodic modulation exhibit a transition from localization to delocalization, with the emergence of a robust quasiperiodic critical point for arbitrary incommensurate potentials. Inclusion of residual electronic interactions leads to an enhanced spin-triplet superconducting state near the quasiperiodic critical point, showcasing the potential of quasiperiodicity in engineering robust superconducting states.