paper/result/perfect: 删除多余的话
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// 第一段:弱极性与强极性声子模式表现截然不同。如图所示,弱极性声子模式几乎不依赖于波矢方向,而强极性声子模式则表现出显著的各向异性。
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Owing to the distinct behaviors arising from their different electrical polarities,
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Raman-active phonons were categorized into two groups:
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Owing to the distinct behaviors arising from different electrical polarities of Raman-active phonon modes,
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they were categorized into two groups:
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negligible-polarity phonons (i.e., having zero or very weak electrical polarity),
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and strong-polarity phonons.
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The negligible-polarity phonons exhibited minimal dependence on the wavevector direction
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(see the intersection of gray solid lines and orange dashed lines in @figure-discont b and c),
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(see the intersection of gray solid lines and orange dashed lines in @figure-discont b and c,
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where the frequency only differed #sym.tilde 0.1 cm#super[-1] across different incidence configurations),
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and were therefore usually analyzed at the #sym.Gamma point regardless of the incidence configurations;
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specifically, there were eight such modes
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labeled A#sub[1]-1 to A#sub[1]-2, E#sub[1]-1 to E#sub[1]-2, and E#sub[2]-1 to E#sub[2]-4,
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according to their irreducible representations in the C#sub[6v] group and in order of increasing frequency.
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In contrast, the strong-polarity phonons displayed significant anisotropy,
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In contrast, the strong-polarity phonons displayed significant anisotropy
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(see the intersection of colored solid lines and orange dashed lines in @figure-discont b and c,
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where the frequency differed #sym.tilde 10 cm#super[-1] across different incidence configurations),
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and required analysis under specific incidence configurations.
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In this paper, we focused on incidence within the zOx plane,
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where three modes were present and named according to their vibration directions:
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TO-zOx (vibrating in the zOx plane and roughly perpendicular to the incidence direction),
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TO-y (vibrating along the y-axis), and LO (vibrating roughly parallel to the incidence direction).
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In order to further investigate the frequencies dependence on the wavevector,
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and to confirm the accuracy of both our experiments and calculations,
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we analyzed the negligible-polarity phonons off the #sym.Gamma point
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by comparing experimental and calculated results under various laser incidence directions.
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The E#sub[2]-3 peak served as a calibration reference under various experiments,
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// 第二段:我们具体计算了模式对极性的依赖。可以看到,弱极性声子的变化极小。与实验比较,也验证了我们实验的准确性。
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// 第三段:有两个弱极性模式还没有在实验上看到过。我们通过计算知道了它们的强度,并看到了其中一个。
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@@ -27,25 +36,8 @@ In this paper, we focused on incidence within the zOx plane,
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=== Negligible-polarity Phonons
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The negligible-polarity phonons were initially analyzed at the #sym.Gamma point,
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disregarding the incidence configurations.
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This simplification was justified because
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the negligible-polarity phonon modes participated in Raman scattering
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were nearly identical across all incidence configurations,
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with their frequencies differing by only #sym.tilde 0.1 cm#super[-1]
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There were eight Raman-active negligible-polarity modes in 4H-SiC at the #sym.Gamma point,
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corresponding to three irreducible representations of the C#sub[6v] group (A#sub[1], E#sub[1], and E#sub[2]).
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We named these modes as
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E#sub[2]-1, E#sub[2]-2, E#sub[1]-1, A#sub[1]-1, E#sub[1]-2, E#sub[2]-3, E#sub[2]-4, and A#sub[1]-2,
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in order of increasing frequency (see @figure-discont and @figure-raman).
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The Raman tensor forms of each mode were derived by further considering their representations in the C#sub[2v] group,
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and were summarized in @table-rep.
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#include "figure-discont.typ"
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#include "figure-raman.typ"
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#include "table-rep.typ"
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Peaks corresponding to seven Raman-active negligible-polarity phonons were observed in our experiments
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(only the E#sub[2]-4 mode was not observed),
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@@ -1,24 +0,0 @@
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#figure({
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set text(size: 9pt);
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set par(justify: false);
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let m2(content) = table.cell(colspan: 2, content);
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let A1 = [A#sub[1]];
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let A2 = [A#sub[2]];
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let B1 = [B#sub[1]];
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let B2 = [B#sub[2]];
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let E1 = [E#sub[1]];
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let E2 = [E#sub[2]];
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table(columns: 8, align: center + horizon,
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table.cell(rowspan: 2)[*Representation*],
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[C#sub[6v]], A1, B1, m2(E1), m2(E2),
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[C#sub[2v]], A1, B1, B2, B1, A2, A1,
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m2[*Vibration Direction*], [z], [z], [x], [y], [x], [y],
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m2[*Raman Tensor*],
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[$mat(a,,;,a,;,,b)$], [$0$],
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[$mat(,,a;,,;a,,;)$], [$mat(,,;,,a;,a,;)$], [$mat(,a,;a,,;,,;)$], [$mat(a,,;,-a,;,,;)$],
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)},
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caption: [
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Irreducible representations and raman tensors of phonons in 4H-SiC.
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],
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placement: none,
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)<table-rep>
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