Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison

2004 ◽  
Vol 132 (3-4) ◽  
pp. 141-149 ◽  
Author(s):  
B. Lassen ◽  
L.C. Lew Yan Voon ◽  
M. Willatzen ◽  
R. Melnik
Keyword(s):  
Quantum Wires ◽  
Function Theory ◽  
Envelope Function ◽  
Theory Versus

Basics of Envelope-Function Theory

2020 ◽  
pp. 239-270
Author(s):  
Vurgaftman Igor
Keyword(s):  
Band Structure ◽  
Quantum Wells ◽  
Quantum Confinement ◽  
Function Theory ◽  
Layered Materials ◽  
Envelope Function ◽  
Spin Splitting ◽  
Quantum Structures

The chapter shows how the bulk theory described in Part I can be generalized within the envelope-function framework to model the band structure of layered materials with quantum confinement of carriers such as quantum wells or superlattices. In practice, the approach amounts to substituting derivatives for wavevector components in suitably chosen Hamiltonians as well as augmenting them with interface terms. It also discusses the spin splitting of the states of the quantum structures that arises from structural and intrinsic asymmetries.

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