diff --git a/test-typst/section/perfect/non-polar/default.typ b/test-typst/section/perfect/non-polar/default.typ index 9c9da66..31c3bb9 100644 --- a/test-typst/section/perfect/non-polar/default.typ +++ b/test-typst/section/perfect/non-polar/default.typ @@ -10,7 +10,7 @@ This approximation is widely adopted (cite) and justified by the fact that, see orange dotted line in @figure-discont), and their dispersion at #sym.Gamma point is continuous with vanishing derivatives. Therefore, negligible-polar phonons involved in Raman processes - have nearly indistinguishable properties from those at the #sym.Gamma point. + have nearly indistinguishable frequencies and vibration amplitudes from those at the #sym.Gamma point. #include "figure-discont.typ" diff --git a/test-typst/section/perfect/polar/default.typ b/test-typst/section/perfect/polar/default.typ index 9b493fa..2cb4394 100644 --- a/test-typst/section/perfect/polar/default.typ +++ b/test-typst/section/perfect/polar/default.typ @@ -8,6 +8,26 @@ // 若考虑到到入射光不是严格沿着 z 方向,而是有一个小的角度(例如 10 度),则此时有一个声子模式沿着 x 方向,另外两个声子模式则为 y-z 两个方向的混合。 // (没有在图上表示) +Strong-polar phonons heavily depend on the direction of their wavevectors + due to long-range Coulomb interactions between atoms in semiconductors. +This causes the strong-polar phonon modes corresponding to different incident light directions + having different frequencies (i.e., discontinuity of colored lines near #sym.Gamma point in @figure-discont), + and their vibration directions also vary accordingly. +For incident laser propagating along the z direction, + the relevant phonon modes are those along the A-#sym.Gamma line and symmetry of C#sub[6v] point group applies, + leading to two modes (two peeks in Raman spectra), + including an E#sub[1] mode (pink line in @figure-discont, vibration in-plane) + and an A#sub[1] mode (green line in @figure-discont, vibration along z-direction). +When the light is incident along the y direction, + the relevant phonon modes are those along the #{sym.Gamma}-K line and only symmetry of C#sub[2v] applies. +The mode vibration in z direction (A#sub[1] mode in C#sub[2v]) + will have much lower frequency (green line in @figure-discont), + and the E#sub[1] mode C#sub[6v] will degenerate into two modes in C#sub[2v], + including B#sub[2] mode (blue line in @figure-discont, vibration along x direction) + and B#sub[1] mode (red line in @figure-discont, vibration in y direction). +When the light is incident along random directions, + no symmetry applies, and there will be three phonon modes. + // 极性声子模式还会与载流子发生较强的相互作用。 @figure-discont