Condensed Matter Physics, 2010, vol. 13, No. 1, p. 13701:111
DOI:10.5488/CMP.13.13701
Title:
Properties of a charge in the nanoheterosystems with quantum wells and barriers
Author(s):

V.I. Boichuk
(Department of Theoretical Physics, Ivan Franko Drohobych State Pedagogical University, 24 Ivan Franko Str., 82100 Drohobych, Ukraine)
,


I.V. Bilynskyi
(Department of Theoretical Physics, Ivan Franko Drohobych State Pedagogical University, 24 Ivan Franko Str., 82100 Drohobych, Ukraine)
,


I.O. Shakleina
(Department of Theoretical Physics, Ivan Franko Drohobych State Pedagogical University, 24 Ivan Franko Str., 82100 Drohobych, Ukraine)
,


V.B. Holskyi
(Department of Theoretical Physics, Ivan Franko Drohobych State Pedagogical University, 24 Ivan Franko Str., 82100 Drohobych, Ukraine)

In the paper a quasionedimensional threelayer nanowire (NW) with
an intermediate layer at the separation boundaries is described by
the KronigPenney model with δfunction potentials. The
distance between the last or supreme atoms of the intermediate layer
is a parameter of the problem and ranges from zero to two lattice
parameters of crystals. A precise solution is obtained for the
quantummechanical reflection coefficient R which makes it
possible to determine the dependence of the factor on a wave vector,
widths of an intermediate layer and a monolayer of the
nanoheterostructure. The specific calculations are performed for the
GaAs/AlAs/GaAs and AlAs/GaAs/AlAS nanowires. The comparison of the
reflection coefficients in the envelopefunction approximation and
in the effective mass method is performed at small values of a wave
vector. It is shown that similar results can be received using the
refined procedure, originally proposed by Harrison, with
appropriately taken parameters. For the cosinusoidal dependence of
the energy on a wave vector which arises in the KronigPenney model
within the framework of the Smatrix scattering method, we
determined the binding states energy for a AlAs/GaAs/AlAs quantum
well wire.
Key words:
heterostructure, intermediate layer, KronigPenney model, reflection coefficient, Smatrix scattering method
PACS: 71.55.i, 73.21.La, 79.60.Jv
