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

B. Lassen; L.C. Lew Yan Voon; M. Willatzen; R. Melnik

doi:10.1016/j.ssc.2004.07.050

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

Solid State Communications ◽

10.1016/j.ssc.2004.07.050 ◽

2004 ◽

Vol 132 (3-4) ◽

pp. 141-149 ◽

Cited By ~ 19

Author(s):

B. Lassen ◽

L.C. Lew Yan Voon ◽

M. Willatzen ◽

R. Melnik

Keyword(s):

Quantum Wires ◽

Function Theory ◽

Envelope Function ◽

Theory Versus

Effects of magnetic field on the electronic structure of wurtzite quantum dots: Calculations using effective-mass envelope function theory

Physical Review B ◽

10.1103/physrevb.72.075363 ◽

2005 ◽

Vol 72 (7) ◽

Cited By ~ 10

Author(s):

X. W. Zhang ◽

J. B. Xia

Keyword(s):

Magnetic Field ◽

Quantum Dots ◽

Electronic Structure ◽

Effective Mass ◽

Function Theory ◽

Envelope Function

Fundamentals of envelope function theory for electronic states and photonic modes in nanostructures

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/11/9/002 ◽

1999 ◽

Vol 11 (9) ◽

pp. 53-83 ◽

Cited By ~ 80

Author(s):

M G Burt

Keyword(s):

Function Theory ◽

Electronic States ◽

Envelope Function

Basics of Envelope-Function Theory

Bands and Photons in III-V Semiconductor Quantum Structures ◽

10.1093/oso/9780198767275.003.0008 ◽

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.

Foundations of the envelope-function theory for phonons in heterostructures

Physical Review B ◽

10.1103/physrevb.52.12260 ◽

1995 ◽

Vol 52 (16) ◽

pp. 12260-12281 ◽

Cited By ~ 19

Author(s):

Bradley A. Foreman

Keyword(s):

Function Theory ◽

Envelope Function

Importance of the Microscopic Wave Function in Envelope-Function Theory

Physical Review Letters ◽

10.1103/physrevlett.82.1339 ◽

1999 ◽

Vol 82 (6) ◽

pp. 1339-1339 ◽

Cited By ~ 16

Author(s):

Bradley A. Foreman

Keyword(s):

Wave Function ◽

Function Theory ◽

Envelope Function

Resolution of the out-of-zone solution problem in envelope-function theory

Superlattices and Microstructures ◽

10.1006/spmi.1996.0214 ◽

1998 ◽

Vol 23 (2) ◽

pp. 531-534 ◽

Cited By ~ 7

Author(s):

M.G. Burt

Keyword(s):

Function Theory ◽

Envelope Function ◽

Solution Problem

Envelope-function theory without spurious real solutions

EPL (Europhysics Letters) ◽

10.1209/epl/i2004-10340-1 ◽

2005 ◽

Vol 69 (2) ◽

pp. 249-255 ◽

Cited By ~ 2

Author(s):

F Szmulowicz

Keyword(s):

Function Theory ◽

Envelope Function ◽

Real Solutions

Analytical Envelope-Function Theory of Interface Band Mixing

Physical Review Letters ◽

10.1103/physrevlett.81.425 ◽

1998 ◽

Vol 81 (2) ◽

pp. 425-428 ◽

Cited By ~ 79

Author(s):

Bradley A. Foreman

Keyword(s):

Function Theory ◽

Envelope Function ◽

Band Mixing

Relations among the modern theories of diffusion-influenced reactions. II. Reduced distribution function theory versus modified integral encounter theory

The Journal of Chemical Physics ◽

10.1063/1.480780 ◽

2000 ◽

Vol 112 (5) ◽

pp. 2128-2138 ◽

Cited By ~ 38

Author(s):

Jaeyoung Sung ◽

Sangyoub Lee

Keyword(s):

Distribution Function ◽

Function Theory ◽

Theory Versus

Gauge-invariant discretization in multiband envelope function theory andgfactors in nanowire dots

Physical Review B ◽

10.1103/physrevb.78.075317 ◽

2008 ◽

Vol 78 (7) ◽

Cited By ~ 25

Author(s):

Till Andlauer ◽

Richard Morschl ◽

Peter Vogl

Keyword(s):

Function Theory ◽

Envelope Function ◽

Gauge Invariant