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. 2019 Apr 8;10:1603. doi: 10.1038/s41467-019-09340-5

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© The Author(s) 2019

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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Fig. 6 — Control experiments and error analysis of the PR-QPI signal. a Experimental PR-QPI pattern measured on another sample and analyzed by multi-DBS-QPI method. b Averaged intensity per pixel of PR-QPI signal for each scattering spot. c The averaged intensity of the PR-QPI signal within the two circles shown in a. This calculation for determining possible error bars is specially done for q₅ and q₆ spots with the increasing size of the outer circle. The averaged values of these data are taken as the error bars for q₅ and q₆ spots and shown in b. d The average of the intensities for each scattering spots measured in four areas of three samples at ±20 meV. The error bars in d are calculated through the standard deviations from the statistics. Note the error bars in b and d have different meanings. Those in b give the uncertainty of the PR-QPI intensity calculated for a particular scattering spot in one FOV. Those in d reflect the uncertainty among different FOVs and samples