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SiC-2nd-paper/paper/result/perfect/default.typ
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== Phonons in Perfect 4H-SiC
总共有 21 个声子模式。我们把它分成 18 个极性很小的和 3 个极性很强的两类。
对应于不同拉曼入射配置(正入射、掠入射、边入射)的声子位于倒空间中的不同位置。
它们都位于 Gamma 点附近,与 Gamma 点的距离由入射光波长决定,而与 Gamma 点的相对位置则由入射方向决定。
对于每一个 Gamma 附近的点,都有 21 个声子模式(简并模式按简并数计)。
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;
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。
Phonons involved in different Raman incidence configurations (normal, grazing, and edge incidence)
are located at different positions in reciprocal space,
all of which are near the #sym.Gamma point,
with the distance from the #sym.Gamma point determined by the wavelength of the incident light,
and the relative position to the #sym.Gamma point determined by the direction of incidence.
For each such position around the #sym.Gamma point,
there are 21 phonon modes (degenerate modes are counted according to their multiplicity).
We classify these 21 phonon modes into two categories:
18 negligible-polar phonons (i.e., phonons with zero or very weak electrical polarity),
for which the effect of polarity can be ignored in the Raman scattering process;
and the other three strong-polar phonons,
where the polarity gives rise to observable effects in the Raman spectra.
这个分类是有意义的。从微观上讲,它也和原子的振动方向有关。
// This classification make sense.
This classification is based on the fact that
the four Si atoms in the primitive cell of 4H-SiC carry similar positive Born effective charges (BECs),
and the four C atoms carry similar negative BECs (see @table-bec).
In the 18 negligible-polar phonons,
the vibrations of two Si atoms are approximately opposite to those of the other two Si atoms,
and the same holds for the C atoms,
leading to cancellations of macroscopic polarity.
In contrast, in the three strong-polar phonons,
all Si atoms vibrate in the same direction, and all the C atoms vibrate in the opposite direction,
resulting in a strong dipole moment.
#include "table-bec.typ"
#include "non-polar/default.typ"
#include "polar/default.typ"