Magnetotransport signatures of antiferromagnetism coexisting with charge order in the trilayer cuprate HgBa2Ca2Cu3O8+δ.

Multilayered cuprates possess not only the highest superconducting temperature transition but also offer a unique platform to study disorder-free CuO₂ planes and the interplay between competing orders with superconductivity. Here, we study the underdoped trilayer cuprate HgBa₂Ca₂Cu₃O_8+δ and we report quantum oscillation and Hall effect measurements in magnetic field up to 88 T. A careful analysis of the complex spectra of quantum oscillations strongly supports the coexistence of an antiferromagnetic order in the inner plane and a charge order in the outer planes. The presence of an ordered antiferromagnetic metallic state that extends deep in the superconducting phase is a key ingredient that supports magnetically mediated pairing interaction in cuprates. The interplay between superconductivity and competing orders in multi-layered cuprates can shed light on the nature of the superconducting pairing. Here, the authors report on the coexistence of antiferromagnetic and charge orders in different CuO2 planes in a tri-layer cuprate, pointing to a magnetically-mediated mechanism. [ABSTRACT FROM AUTHOR]