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

Shinichi Watanabe, Masahiro Yoshita, Shyun Koshiba, Hidefumi Akiyama

Research output: Contribution to journalArticle

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)5924-5936
Number of pages13
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Issue number10
Publication statusPublished - 2002 Oct 1
Externally publishedYes



  • Finite element method
  • Heterostructure
  • III-V semiconductor
  • Luttinger Hamiltonian
  • Optical property
  • Polarization
  • Quantum wire
  • Transition matrix element

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

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