Kronig-Penney model simulation with equivalent circuit method

Szu Ju Li, Chi Hon Ho, Yao Tsung Tsai

Research output: Contribution to journalArticlepeer-review

Abstract

The Kronig-Penney model is quite useful for illustrating many important features of the quantum behaviour of electrons in periodic lattice. Although the Kronig-Penney model is well-known and has been discussed in solid state textbooks, we try to use a simple and accessible way without the extremely laborious and tedious algebra evaluation to solve Kronig-Penney model. This paper presents a simple method without solving the difficult eigen-problem to solve the Kronig-Penney model, and the important energy band characteristics can be easily obtained with circuit concepts. The simulation results are presented to demonstrate the accuracy and superiority of the model.

Original languageEnglish
Pages (from-to)109-116
Number of pages8
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume20
Issue number3
DOIs
StatePublished - May 2007

Keywords

  • Device simulation
  • Equivalent circuit method
  • Kronig-Penney model
  • Schrödinger equation

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