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 #import "@preview/starter-journal-article:0.4.0": article, author-meta
#show: article.with( #show: article.with(
title: "Article Title", title: "My Great Paper",
authors: ( authors: (
"Haonan Chen": author-meta( "Haonan Chen": author-meta(
"xmu", "xmu",
@@ -15,7 +15,9 @@
affiliations: ( affiliations: (
"xmu": "Xiamen University", "xmu": "Xiamen University",
), ),
abstract: [#lorem(100)], abstract: [
Accept pls.
],
keywords: ("Typst", "Template", "Journal Article"), keywords: ("Typst", "Template", "Journal Article"),
) )

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Phonon modes in defect-free 4H-SiC were first analyzed, Phonon modes in defect-free 4H-SiC were first analyzed,
which account for the majority of the observed Raman signals. which account for the majority of the observed Raman signals.
Subsequently, we address the effects of defects, Subsequently, we address the effects of defects and charge carriers,
which manifest as additional minor peaks which manifest as additional minor peaks and modifications to the primary peaks in the Raman spectra.
and modifications to the Raman features associated with the defect-free 4H-SiC phonon modes.
#include "perfect/default.typ" #include "perfect/default.typ"
#include "defect/default.typ" #include "defect/default.typ"

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== Phonons in Perfect 4H-SiC == Phonons in Perfect 4H-SiC
不同方向入射光的声子位置不同。 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。
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 参与拉曼散射的声子波矢等于入射光与散射光的波矢差
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 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
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。 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。
The properties of phonons depend on their positions in reciprocal space (i.e., their wavevectors), The wavevectors of phonons participating in Raman scattering
and the wavevectors of phonons participating in a Raman scattering process equal to the difference between the wavevectors of the incident and scattered light.
are determined by the Raman experiment configuration. Thus, in our experiments (back-scattering with green and UV light),
In our experiments (back-scattering with 532 nm laser light), the phonons involved are located very close to the #sym.Gamma point,
the phonons involved are located very close to the #sym.Gamma point (approximately $5 times 10^(-3) angstrom$), with various wavevectors determined by the incidence configurations.
and direction relative to the #sym.Gamma point is determined by the incidence configurations. As illustrated in @figure-discont, in Raman experiments of normal and edge incidence,
For normal and edge incidence, the relevant phonons lie approximately at the #sym.GammaA and #sym.GammaK lines, respectively.
the relevant phonons lie approximately along the #sym.GammaA and #sym.GammaK lines, respectively,
as illustrated in @figure-discont.
For grazing incidence, For grazing incidence,
the relevant phonons do not reside on any high-symmetry lines and are therefore not depicted in the figure. the relevant phonons do not reside on any high-symmetry lines and are therefore not depicted in the figure.
@@ -26,16 +24,15 @@ For grazing incidence,
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; 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;
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。 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。
At each position near the #sym.Gamma point, At each position near the #sym.Gamma point, there are 21 phonon modes with non-zero frequency (counting degeneracies).
there are 21 phonon modes (counting degeneracies). These phonons were categorized into two groups according to their electrical polarities:
These modes were categorized into two groups according to their electrical polarities:
18 negligible-polar phonons (i.e., zero or very weak electrical polarity), 18 negligible-polar phonons (i.e., zero or very weak electrical polarity),
where atoms of the same species vibrate in opposite directions where atoms of the same species vibrate in opposite directions,
resulting in effective cancellation of electrical polarization during the Raman process resulting in effective cancellation of electrical polarization during the Raman process
(gray lines in @figure-discont); (gray lines in @figure-discont);
and three strong-polar phonons, and three strong-polar phonons,
where atoms of the same species vibrate in phase, where atoms of the same species vibrate in phase,
resulting in strong electrical polarization and observable effects in Raman spectra, resulting in strong electrical polarization and observable effects in Raman spectra
(colored lines in @figure-discont). (colored lines in @figure-discont).
#include "non-polar/default.typ" #include "non-polar/default.typ"

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image("/画图/声子不连续/embed.svg"), image("/画图/声子不连续/embed.svg"),
caption: [ caption: [
(a) Phonon dispersion of 4H-SiC along the A#sym.GammaK high-symmetry path. (a) Phonon dispersion of 4H-SiC along the A#sym.GammaK high-symmetry path.
Gray lines represent negligible-polar phonon modes,
while colored lines indicate strong-polar phonon modes.
The green, red and blue lines indicate the mode along the z-direction, y-direction and x-direction, respectively.
Along A-#sym.Gamma path, strong-polar modes along x- and y-directions are degenerated,
showing as a single purple line.
(b) Magnified view of the boxed region in (a). (b) Magnified view of the boxed region in (a).
The orange dashed lines mark the phonon wavevectors involved in Raman scattering The orange dashed lines mark the phonon wavevectors involved in Raman scattering
with incident light along the z- and y-directions. with green laser light under normal and edge incidence configurations.
(c) Magnified view of the boxed region in (b).
], ],
placement: none, placement: none,
)<figure-discont> )<figure-discont>

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