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. 2017 Jul 26;7:6545. doi: 10.1038/s41598-017-06728-5

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© The Author(s) 2017

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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H-T phase diagram from ΔS _M(T,H) and magnetization data. (a) ΔT is indicated by the shaded region between T _C and T*. The hashed area between H _C,2 and H _peak defines the highly nonlinear CSL. The nonlinear CSL is bounded from above by H _peak and from below by H _C,1 and H _Arr,1. H _C,1 and H _Arr,1 (purple line) form a pocket within the chiral phase of the linear CSL. H _Arr,2 (pink line) corresponds exactly to H _C,2. (b) H-T phase diagram in the ΔT region where first-order behavior exists. The phase line for onset of CSL is a steep boundary at 132 K, indicated by red stars, where a first-order transition may exist. Irreversibility in this region can be seen by comparing M vs. T peaks measured with a ZFC protocol (black stars) and M vs. T peaks reformulated from M vs. H:M ^H(T) (red stars).