https://doi.org/10.1007/s100510050731
Number of bound states of a Kronig-Penney finite-periodic superlattice
1
Departamento de Física Aplicada II, E.T.S.I. de
Telecomunicación, Campus de Teatinos, Universidad de Málaga,
Málaga, Spain
2
Institut für Anorganische Chemie, Festkörperchemie, Universität GH
Essen, Germany
3
Departamento de Física, Universidad de Murcia, Murcia, Spain
Received:
24
April
1998
Published online: 15 April 1999
We calculate analytically the conditions that establish the number
of bound states in finite superlattices as a function of the depth, width
and separation of the wells. We consider a lattice of -wells and a
set of rectangular wells. For this latter case, we show how for finite
systems the energy levels already group together in bands separated by gaps.
PACS: 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999