Numerov Schrödinger solver with complex potential boundaries for open multilayer heterojunction systems

Zhiyuan Lin, Zhuoran Wang, Guohui Yuan, Jean Pierre Leburton

Research output: Contribution to journalArticlepeer-review

Abstract

An efficient and stable algorithm based on the Numerov method of solving the Schrödinger equation with complex potential boundaries (NCPB) in open multilayer heterojunction systems is presented. The NCPB solver provides the complex expressions of the system eigenvalues to obtain the quasi-bound state (QBS) energies and lifetimes. Examples of applications in investigating electron tunneling from an accumulation layer across a single AlGaAs barrier, resonant tunneling through double barriers and QBSs in a multilayer quantum cascade laser are discussed. These examples of applications show that the NCPB is a powerful tool with greatly improved efficiency for investigating, designing, and optimizing multilayer heterojunction devices.

Original languageEnglish (US)
Pages (from-to)1578-1584
Number of pages7
JournalJournal of the Optical Society of America B: Optical Physics
Volume35
Issue number7
DOIs
StatePublished - Jul 1 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

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