Erratum: Varied domain structures in 0.7Pb(Mg_1/3Nb_2/3)O₃-0.3PbTiO₃ single crystals

The authors want to make the following corrections to this paper^[1].

After carefully rechecking the orientation of the sample, it has been discovered that the sample used in this experiment is (001) oriented rather than the previously stated (100) oriented.

Therefore, the y axis in the coordinate system of Figure 1, Figure 2, and Figure 3 should be [$$\overline{1}$$00] instead of [001]. The corrected figures are shown below:

Figure 1. Type 1 domain structure. (A) Topography of type 1 domain structure. (B) The corresponding OOP phase signal. (C) IP phase signal measured at a tip-sample orientation of 0. The IP polarization variants are denoted on each domain. (D) The binarized version of (C). (E) IP phase signal measured at a tip-sample orientation of 90. (F) The binarized version of (E). (G) The optical image of type 1 domain. (H) The reconstructed three-dimensional polarization vectors for type 1 domain.

Figure 2. Type 2 domain structure. (A) Topography of type 2 domain structure. (B) The corresponding OOP phase signal. (C) IP phase signal measured at a tip-sample orientation of 0. The IP polarization variants are denoted on each domain. (D) The binarized version of (C). (E) IP phase signal measured at a tip-sample orientation of 90. (F) The binarized version of (E). (G) The optical image of type 2 domain. (H) The reconstructed three-dimensional polarization vectors for type 2 domain.

Figure 3. Type 3 domain structure. (A) Topography of type 3 domain structure. (B) The corresponding OOP phase signal. (C) IP phase signal measured at a tip-sample orientation of 0. The IP polarization variants are denoted on each domain. (D) The binarized version of (C). (E) IP phase signal measured at a tip-sample orientation of 90. (F) The binarized version of (E). (G) The optical image of type 3 domain. (H) The reconstructed three-dimensional polarization vectors for type 3 domain.

All the corresponding corrections are summarized below in the main text:

Original text: PMN-30PT single crystals with (100) orientation were obtained from MTI Corporation, China.

Revised text: PMN-30PT single crystals with (001) orientation were obtained from MTI Corporation, China.

Original text: A twofold and a threefold peak splitting were observed around 301 and 311 reflections, respectively, confirming a monoclinic A (M_A) structure [Supplementary Figure 1]^[2,3].

Revised text: A twofold and a threefold peak splitting were observed around 103 and 113 reflections, respectively, confirming a monoclinic A (M_A) structure [Supplementary Figure 1].

Original text: By combining the two IP directions as denoted in Figure 1D and F, the polarization vectors for each domain can be established in this (100) oriented M_A PMN-PT sample.

Revised text: By combining the two IP directions as denoted in Figure 1D and F, the polarization vectors for each domain can be established in this (001) oriented M_A PMN-PT sample.

Original text: The domain structure shows a 4M_A domain configuration with non-charged head-to-tail 71° domain walls (m1+ and m2+, m1- and m2-) and 180° domain walls (m2+ and m2-, m1+ and m1-), which can be seen from the reconstructed four polarization vectors shown in Figure 1H.

Revised text: The domain structure shows a 4M_A domain configuration with non-charged head-to-tail 71° domain walls (m3+ and m4+, m3- and m4-) and 180° domain walls (m4+ and m4-, m3+ and m3-), which can be seen from the reconstructed four polarization vectors shown in Figure 1H.

Original text: Compared to the type I domain structure, 71° domains are non-existent, but 109° domain walls emerge (m1+ and m3+, m1- and m3-) in addition to the 180° domain walls that are present in both type 1 and type 2 domain structures.

Revised text: Compared to the type I domain structure, 71° domains are non-existent, but 109° domain walls emerge (m2+ and m3-, m3+ and m2-) in addition to the 180° domain walls that are present in both type 1 and type 2 domain structures.

Original text: The reconstructed polarization vectors with only two allowed directions, sharing the same m1+ and m3+ variants as compared to the type 2 domain, are shown in the schematic in Figure 3H.

Revised text: The reconstructed polarization vectors with only two allowed directions, sharing the same m2+ and m3- variants as compared to the type 2 domain, are shown in the schematic in Figure 3H.

Original text: The divergence is likely due to the different polarization variants in type 1, m1 and m2, in contrast to m1 and m3 in type 2 and 3 domain structures. The resultant vectors m1+ and m2+ or m1- and m2- are closer to the OOP direction of the electric field along the [100] directions than m1 and m3 pairs, which allows the electrical switching at a lower voltage.

Revised text: The divergence is likely due to the different polarization variants in type 1, m3 and m4, in contrast to m2 and m3 in type 2 and 3 domain structures. The resultant vectors m3+ and m4+ or m3- and m4- are closer to the OOP direction of the electric field along the [001] directions than m2 and m3 pairs, which allows the electrical switching at a lower voltage.

Supplementary Figures 3 and 5-7 are also corrected for the sample orientations.

The authors confirm that the scientific conclusions are unaffected. The original publication has also been updated.