Adv. Mater. 2021, 33, 2006089 DOI: 10.1002/adma.202006089 Aviram Bhalla-Levine is hereby added as an author of the article. Avi was an undergraduate student who did some of the piezoresponse force microscopy (PFM) experiments in the work. He left the group in the summer of 2019. When preparing the figures for the submission, the authors overlooked the fact that Avi had acquired that data. To give proper credit, they are added as an author of the paper as given above in the correction author list. The author name is associated with affiliation 1: Z. Zhang, A. Bhalla-Levine, Dr. L. Xie, Dr. M. Kumari, Dr. S. Das, Z. Leng, Prof. L. W. Martin, Prof. R. Ramesh Department of Materials Science and Engineering University of California Berkeley, CA 94720, USA E-mail: rramesh@berkeley.edu.

The synthesis of fully epitaxial ferroelectric Hf_0.5 Zr_0.5 O₂ (HZO) thin films through the use of a conducting pyrochlore oxide electrode that acts as a structural and chemical template is reported. Such pyrochlores, exemplified by Pb₂ Ir₂ O₇ (PIO) and Bi₂ Ru₂ O₇ (BRO), exhibit metallic conductivity with room-temperature resistivity of <1 mΩ cm and are closely lattice matched to yttria-stabilized zirconia substrates as well as the HZO layers grown on top of them. Evidence for epitaxy and domain formation is established with X-ray diffraction and scanning transmission electron microscopy, which show that the c-axis of the HZO film is normal to the substrate surface. The emergence of the non-polar-monoclinic phase from the polar-orthorhombic phase is observed when the HZO film thickness is ≥≈30 nm. Thermodynamic analyses reveal the role of epitaxial strain and surface energy in stabilizing the polar phase as well as its coexistence with the non-polar-monoclinic phase as a function of film thickness.