Polarization dependence of the optical interband transition defined by the spatial variation of the valence p-orbital Bloch functions in quantum wires

被引：0

作者：

Watanabe, Shinichi ^{[1
]}

Yoshita, Masahiro ^{[1
]}

Koshiba, Shyun ^{[1
,2
]}

Akiyama, Hidefumi ^{[1
]}

机构：

[1] Watanabe, Shinichi

[2] Yoshita, Masahiro

[3] 1,Koshiba, Shyun

[4] Akiyama, Hidefumi

来源：

Watanabe, S. (watanabe@dpmail.epfl.ch) | 1600年 / Japan Society of Applied Physics卷 / 41期

关键词：

Band structure - Electron transitions - Electronic density of states - Finite element method - Hamiltonians - Heterojunctions - Light polarization;

D O I：

暂无

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学科分类号：

摘要：

We developed a method to express wave functions of hole states in semiconductor quantum wire (QWR) structures based on spatial variation of the valence p-orbital Bloch functions, to show how envelope wave functions relate to polarization-dependent interband transition. A wave function of a hole state is obtained solving the Schrödinger equation based on the 4 × 4 Luttinger Hamiltonian, and then recomposed by means of six bases of three p-orbital Bloch functions with two spin components. As a result, the hole wave function is expressed by six envelope wave functions for the six bases. Then, interband optical transition matrix elements with x-, y-, and z-polarizations are separately given by overlap integrals between envelope wave functions of holes for px, py, and pz orbitals and those of electrons. We also calculate the wave functions for a modeled ridge QWR structure with mirror symmetry as well as for an asymmetric structure, and discuss the polarization dependence of the optical transition.

引用

页码：5924 / 5936