paper: 完成完美晶格的总述
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#import "@preview/starter-journal-article:0.4.0": article, author-meta
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#import "@preview/starter-journal-article:0.4.0": article, author-meta
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#show: article.with(
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#show: article.with(
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title: "Article Title",
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title: "My Great Paper",
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authors: (
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authors: (
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"Haonan Chen": author-meta(
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"Haonan Chen": author-meta(
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"xmu",
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"xmu",
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affiliations: (
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affiliations: (
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"xmu": "Xiamen University",
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"xmu": "Xiamen University",
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),
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),
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abstract: [#lorem(100)],
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abstract: [
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Accept pls.
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],
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keywords: ("Typst", "Template", "Journal Article"),
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keywords: ("Typst", "Template", "Journal Article"),
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)
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)
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Phonon modes in defect-free 4H-SiC were first analyzed,
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Phonon modes in defect-free 4H-SiC were first analyzed,
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which account for the majority of the observed Raman signals.
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which account for the majority of the observed Raman signals.
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Subsequently, we address the effects of defects,
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Subsequently, we address the effects of defects and charge carriers,
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which manifest as additional minor peaks
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which manifest as additional minor peaks and modifications to the primary peaks in the Raman spectra.
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and modifications to the Raman features associated with the defect-free 4H-SiC phonon modes.
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#include "perfect/default.typ"
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#include "perfect/default.typ"
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#include "defect/default.typ"
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#include "defect/default.typ"
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== Phonons in Perfect 4H-SiC
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== Phonons in Perfect 4H-SiC
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不同方向入射光的声子位置不同。
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不同方向入射光的声子位置不同。我们只研究 Gamma 附近的那些。
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声子的性质与它们在倒空间中的位置(即波矢)有关,而参与拉曼散射的声子波矢则由激光波长和拉曼入射配置(正入射、掠入射、边入射)决定。
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参与拉曼散射的声子的波矢等于入射光与散射光的波矢差。
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在我们的实验(绿光)中,参与拉曼散射的声子都位于 Gamma 点附近(距离仅约 0.005 埃-1),而与 Gamma 点的相对方向则根据入射配置而定。
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因此,在我们的实验(绿光和紫外光的背散射)中,参与拉曼散射的声子都位于 Gamma 点附近,且不同的入射方向对应的声子波矢不同。
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对于正入射,声子大致位于 Gamma-A 线上;对于边入射,声子大致位于 Gamma-K 线上。对于掠入射,声子不位于任何高对称线上。
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对于正入射,声子大致位于 Gamma-A 线上;对于边入射,声子大致位于 Gamma-K 线上。对于掠入射,声子不位于任何高对称线上。
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The properties of phonons depend on their positions in reciprocal space (i.e., their wavevectors),
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The wavevectors of phonons participating in Raman scattering
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and the wavevectors of phonons participating in a Raman scattering process
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equal to the difference between the wavevectors of the incident and scattered light.
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are determined by the Raman experiment configuration.
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Thus, in our experiments (back-scattering with green and UV light),
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In our experiments (back-scattering with 532 nm laser light),
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the phonons involved are located very close to the #sym.Gamma point,
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the phonons involved are located very close to the #sym.Gamma point (approximately $5 times 10^(-3) angstrom$),
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with various wavevectors determined by the incidence configurations.
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and direction relative to the #sym.Gamma point is determined by the incidence configurations.
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As illustrated in @figure-discont, in Raman experiments of normal and edge incidence,
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For normal and edge incidence,
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the relevant phonons lie approximately at the #sym.Gamma–A and #sym.Gamma–K lines, respectively.
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the relevant phonons lie approximately along the #sym.Gamma–A and #sym.Gamma–K lines, respectively,
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as illustrated in @figure-discont.
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For grazing incidence,
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For grazing incidence,
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the relevant phonons do not reside on any high-symmetry lines and are therefore not depicted in the figure.
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the relevant phonons do not reside on any high-symmetry lines and are therefore not depicted in the figure.
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我们将这 21 个声子模式分为两类:18 个极性可以忽略的声子模式(即极性为零或非常弱的声子),在拉曼散射过程中它们的电极性造成的效应可以忽略;
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我们将这 21 个声子模式分为两类:18 个极性可以忽略的声子模式(即极性为零或非常弱的声子),在拉曼散射过程中它们的电极性造成的效应可以忽略;
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和 3 个强极性声子模式,在拉曼光谱中电极性效应是可观测的。
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和 3 个强极性声子模式,在拉曼光谱中电极性效应是可观测的。
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At each position near the #sym.Gamma point,
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At each position near the #sym.Gamma point, there are 21 phonon modes with non-zero frequency (counting degeneracies).
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there are 21 phonon modes (counting degeneracies).
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These phonons were categorized into two groups according to their electrical polarities:
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These modes were categorized into two groups according to their electrical polarities:
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18 negligible-polar phonons (i.e., zero or very weak electrical polarity),
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18 negligible-polar phonons (i.e., zero or very weak electrical polarity),
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where atoms of the same species vibrate in opposite directions
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where atoms of the same species vibrate in opposite directions,
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resulting in effective cancellation of electrical polarization during the Raman process
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resulting in effective cancellation of electrical polarization during the Raman process
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(gray lines in @figure-discont);
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(gray lines in @figure-discont);
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and three strong-polar phonons,
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and three strong-polar phonons,
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where atoms of the same species vibrate in phase,
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where atoms of the same species vibrate in phase,
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resulting in strong electrical polarization and observable effects in Raman spectra,
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resulting in strong electrical polarization and observable effects in Raman spectra
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(colored lines in @figure-discont).
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(colored lines in @figure-discont).
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#include "non-polar/default.typ"
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#include "non-polar/default.typ"
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@@ -2,15 +2,9 @@
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image("/画图/声子不连续/embed.svg"),
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image("/画图/声子不连续/embed.svg"),
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caption: [
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caption: [
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(a) Phonon dispersion of 4H-SiC along the A–#sym.Gamma–K high-symmetry path.
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(a) Phonon dispersion of 4H-SiC along the A–#sym.Gamma–K high-symmetry path.
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Gray lines represent negligible-polar phonon modes,
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while colored lines indicate strong-polar phonon modes.
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The green, red and blue lines indicate the mode along the z-direction, y-direction and x-direction, respectively.
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Along A-#sym.Gamma path, strong-polar modes along x- and y-directions are degenerated,
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showing as a single purple line.
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(b) Magnified view of the boxed region in (a).
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(b) Magnified view of the boxed region in (a).
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The orange dashed lines mark the phonon wavevectors involved in Raman scattering
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The orange dashed lines mark the phonon wavevectors involved in Raman scattering
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with incident light along the z- and y-directions.
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with green laser light under normal and edge incidence configurations.
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(c) Magnified view of the boxed region in (b).
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],
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],
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placement: none,
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placement: none,
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)<figure-discont>
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)<figure-discont>
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