New orderings for effective mass Hamiltonians and associated wavefunction matching conditions at abrupt heterojunctions

Mercel Vubangsi (1) , Martin Tchoffo (1) , Lukong Cornelius Fai (1)

1 MMLS - Mesoscopic and Multilayer Structures Laboratory

We show that for a given setting of the Von Roos ambiguity parameters, it is not required that the Morrow and Brownstein condition be satisfied to achieve physically acceptable transport properties at abrupt heterojunctions. We have derived two such settings and corresponding envelope function matching conditions.

Mots clés: position dependent mass; ordering ambiguity; wavefunction matching conditions; abrupt heterojunction; transmittivity; reflectivity

Domaines: Physique Quantique [quant-ph]

Mercel Vubangsi, Martin Tchoffo, Lukong Cornelius Fai. New orderings for effective mass Hamiltonians and associated wavefunction matching conditions at abrupt heterojunctions. 2014. ⟨hal-01054471⟩