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. 2017 Jun 20;8:15944. doi: 10.1038/ncomms15944

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Copyright © 2017, The Author(s)

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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(a,b) Display the percentage occupied by the R and O clusters within the volume of the supercell (r_R and r_O). (c) Represents the strength of the percolating O cluster (that is, the infinite cluster that spreads from one side of the supercell to its opposite side along the [100], [010] or [001] pseudo-cubic directions³⁶). (d) Represents the difference between r_O and . These data (a–d) are shown for BCTZ-0.5 (filled symbols) and BTO (open symbols) in their macroscopic Amm2 state, and correspond to the average over 100 different dipolar configurations (associated with 100 different MC sweeps) at any considered temperature T in a 18 × 18 × 18 supercell. (e,f) Display examples of R clusters (in red) as well as the two types of O clusters (the non-percolating in yellow, and percolating ones in purple) as occurring within the supercell and in a given xy supercell cross-section in BTO at 250 K and in BCTZ-0.5 at 280 K, respectively.

Inline graphic — (a,b) Display the percentage occupied by the R and O clusters within the volume of the supercell (r_R and r_O). (c) Represents the strength of the percolating O cluster (that is, the infinite cluster that spreads from one side of the supercell to its opposite side along the [100], [010] or [001] pseudo-cubic directions³⁶). (d) Represents the difference between r_O and . These data (a–d) are shown for BCTZ-0.5 (filled symbols) and BTO (open symbols) in their macroscopic Amm2 state, and correspond to the average over 100 different dipolar configurations (associated with 100 different MC sweeps) at any considered temperature T in a 18 × 18 × 18 supercell. (e,f) Display examples of R clusters (in red) as well as the two types of O clusters (the non-percolating in yellow, and percolating ones in purple) as occurring within the supercell and in a given xy supercell cross-section in BTO at 250 K and in BCTZ-0.5 at 280 K, respectively.