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Spin-orbit entangled pseudospins hold promise for a wide array of exoticmagnetism ranging from a Heisenberg antiferromagnet to a Kitaev spin liquiddepending on the lattice and bonding geometry, but many of the host materialssuffer from lattice distortions and deviate from idealized models in part dueto inherent strong pseudospin-lattice coupling. Here, we report on thesynthesis of a magnetic superlattice comprising the single ($n$=1) and thedouble ($n$=2) layer members of the Ruddlesden-Popper series iridatesSr$_{n+1}$Ir$_{n}$O$_{3n+1}$ alternating along the $c$-axis, and provide acomprehensive study of its lattice and magnetic structures using scanningtransmission electron microscopy, resonant elastic and inelastic x-rayscattering, third harmonic generation measurements and Raman spectroscopy. Thesuperlattice is free of the structural distortions reported for the parentphases and has a higher point group symmetry, while preserving the magneticorders and pseudospin dynamics inherited from the parent phases, featuring twomagnetic transitions with two symmetry-distinct orders. We infer weakerpseudospin-lattice coupling from the analysis of Raman spectra and attribute itto frustrated magnetic-elastic couplings. Thus, the superlattice expresses anear ideal network of effective spin-one-half moments on a square lattice.

Sr$_2$IrO$_4$/Sr$_3$Ir$_2$O$_7$ superlattice for a model 2D quantum Heisenberg antiferromagnet