Effects of Effective-Mass Hamiltonian Forms on Valence Band Structures of Quantum Wells

Abstract
Calculations have been made of the valence band structures of two typical quantum well films, GaAs/Al0.3Ga0.7As and In0.53Ga0.47As/InP, using two kinds of effective-mass Hamiltonian forms (characterized by β=0 and β=-1). While the two methods produce no significant difference for GaAs/Al0.3Ga0.7As, a great difference is revealed for In0.53Ga0.47As/InP. The method using β=0 appears to be a better choice for the latter system.