Energy spectra of position-dependent masses in double heterostructures

R. Valencia-Torres, J. Avendaño, A. Bernal, J. García-Ravelo

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4 Scopus citations

Abstract

We consider position-dependent effective mass particles in double heterostructures, subject to the action of several potentials. A comparative study of the energy spectra of these particles is carried out, emphasizing the effect of different boundary conditions associated with the kinetic energy operator. Energy spectra that cannot be expressed analytically, have been estimated by means of the corresponding reflection coefficient poles. The heterostructure model adopted assumes a middle region, where the potential and mass are some finite distributions of the position, but outside of it its behavior is constant. Finally, we discuss the gain of a double parabolic quantum well in a laser.

Original languageEnglish
Article number075207
JournalPhysica Scripta
Volume95
Issue number7
DOIs
StatePublished - Jul 2020

Keywords

  • Position-dependent mass
  • boundary conditions
  • energy spectrum
  • heterostructures
  • multi-step method
  • reflection and transmission coefficients
  • von Ross's operator

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