Spin-Flip Effect in Narrow-Gap Semiconductor Quantum Wells

Abstract

The 8 Â 8 k Á p Kane-Weiler model has been extended to study narrow-gap semiconductor quantum wells in the presence of a magnetic field. It is shown that the study of the inherent symmetry in this Hamiltonian model permits a suitable separation of the solution into two orthogonal Hilbert sub-spaces. The electronic properties are evaluated as function of Kane-Luttinger parameters, magnetic field strength, and Landau level number. The selection rules and anomalies in the conduction Zeeman splitting observed in the interband magneto-optical absorption spectrum are analyzed for the Faraday and Voigt geometry configurations. Due to strong intra-and interband admixtures in narrow-gap materials, ''spin-flip-like" transitions are predicted to occur in the magneto-optical spectrum of HgCdTe/CdTe quantum well solid solutions.

Multiband electron resonant Raman scattering in quantum wells in a magnetic field

“…25 Disregarding the warping terms the space of solutions can be separated into two orthogonal subspaces I and II. The wave function can be cast as 26,27 ͉m,N i ,I͑II͒͘ϭ͉k y ͘…”

“…In the calculation, the same parameters were used as given in Ref. 26. Figure 2͑a͒ shows the crossing of the levels ͑indicated in the figure as gϭ0) with different spin orientations leading to an inversion of the sign of the effective Landè factor.…”

“…since the Landau levels with different N in the same conduction subband do not cross. 26 Hence, the necessary condition ͑not sufficient͒ for a Stokes Raman process is…”