Multilayer cuprate superconductors as possible systems described by resonating-valence-bond and antiferromagnetic order

Abstract

Coexistence of antiferromagnetism and $d$-wave superconductivity within a CuO${}_{2}$ plane was recently observed in a wide doping region for multilayer high-temperature cuprate superconductors. We find that the experimental phase diagram is well reproduced in the slave-boson mean-field scheme of the two-dimensional $t$-$J$ model by including antiferromagnetic order. We argue that weak three dimensionality coming from a multilayer structure is sufficient to stabilize antiferromagnetic order and its coexistence with superconductivity.