BREAKDOWN OF THREE DIMENSIONAL EFFECTIVE MASS APPROXIMATION IN NARROW SUPERLATTICES

1984 ◽  
Vol 45 (C5) ◽  
pp. C5-519-C5-523
Author(s):  
C. Priester ◽  
G. Allan ◽  
M. Lannoo
Keyword(s):  
Effective Mass ◽  
Three Dimensional ◽  
Effective Mass Approximation ◽  
Mass Approximation

EFFECTIVE-MASS APPROXIMATION IN GRADED CRYSTALS

1990 ◽  
Vol 04 (15n16) ◽  
pp. 2357-2369 ◽  
Author(s):  
Y. FU ◽  
K. A. CHAO
Keyword(s):  
Kinetic Energy ◽  
Exact Solutions ◽  
Effective Mass ◽  
Three Dimensional ◽  
Energy Operator ◽  
Effective Mass Approximation ◽  
Kinetic Energy Operator ◽  
Energy Dispersion ◽  
One Dimensional ◽  
Mass Approximation

The effective mass approximation (EMA), when applied to graded crystals, needs a modified form [Formula: see text] for the kinetic energy operator, where 2α + β = −1 and m(z) is the position-dependent effective mass. We have analyzed the energy dispersion of the EMA Hamiltonian, and performed a one-dimensional and a three-dimensional exact calculation to determine the proper value of β. Our conclusion is that when β = −1 the EMA provides better agreement with the exact solutions.

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