Semiconductor physics and light-matter interaction
PHYS-433
Recorded version of Lecture 14
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.
PHYS-433 Lecture 14
22.12.2021, 11:57
In this final lecture, we first provide a theoretical description of the electron-photon interaction beyond the semi-classical picture, i.e., a framework that includes the quantization of the electric field described using second quantization. This enables the calculation of the absorption rate and the recombination rate for a two-level system by making use of Fermi's Golden Rule. In particular, it is shown that the recombination rate can be decomposed into two components, namely stimulated emission and the spontaneous emission. The formal expression of the spontaneous emission rate is derived, which is one the first successes of quantum mechanics. The description of spontaneous emission is then extended to the case of bulk semiconductors. In this respect, we obtain the close form expression for the spectral distribution of spontaneous recombination rate and that of the bimolecular recombination coefficient introduced in Lecture 7 that is accounting for band-to-band optical transitions. Finally, basic insights into near band edge photoluminescence transitions taking place in bulk semiconductors are given.