Self-similarity in quasiperiodic Fibonacci superlattices in an in-plane magnetic field

Abstract

A theoretical study of the magnetic sub-bands, electron wave functions, and intraband transition strengths of GaAs–(Ga,Al)As quasiperiodic Fibonacci superlattices under in-plane magnetic fields is presented. Calculations were carried out in the effective-mass approximation and a parabolic model for the conduction band was used. Results were obtained for two magnetic fields related by integer powers of the golden mean τ=(1+√5)/2 with corresponding magnetic levels, electron wave functions, and transition strengths displaying a practically self-similar structure as appropriate for a GaAs–(Ga,Al)As Fibonacci superlattice.