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Multichannel Transmission of Holes in a Multiband Problem
Author(s) -
DiagoCisneros L.,
PereyraPadilla P.,
PérezÁlvarez R.,
RodríguezCoppola H.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200207)232:1<125::aid-pssb125>3.0.co;2-1
Subject(s) - physics , quantum tunnelling , scattering , eigenvalues and eigenvectors , angular momentum , quantum mechanics , transfer matrix , amplitude , momentum transfer , quantum electrodynamics , computational physics , computer science , computer vision
The hole tunneling process through a single‐barrier semiconductor heterostructure, modeled by a sectionally constant potential in the 4 × 4 Kohn‐Lüttinger model, has been studied within an elastic multichannel‐multiband scattering theory by means of the transfer matrix formalism. We derive compact expressions for the relevant scattering quantities of the system in terms of the transfer matrix elements. All the amplitudes of the incident flux were taken as non‐zero at the same time. Using this approach, each channel's contribution to the transmission process can be identified as a function of the incoming particle's energy for each hole‐propagation mixed mode. In the uncoupled‐channel limit, for modes with equal effective masses and m j (eigenvalue of the total angular momentum projection), the tunneling is allowed and the other paths are forbidden as expected. In the framework of our method it is possible to study intra‐ and inter‐band transitions of m j for non‐zero transversal momentum. Several inter‐band conversions of m j , between modes with the same sign of Kramer degeneracy under time reversal symmetry operation, rise with the transversal momentum.