Abstract
The dynamics-controlled truncation (DCT) formalism is a successful microscopic approach that describes coherent correlations in optically excited semiconductors. For practical reasons (including numerical evaluations), its application is limited to lowest-order nonlinearities, such as the χ(3) regime. Therefore, it is not convenient to use this formalism to examine the role played by incoherent many-body effects, such as carrier-carrier scattering and screening. Traditionally, the most powerful approach to study incoherent effects and correlations in highly excited semiconductors is that of nonequilibrium Green's functions (NGF). A combination of the insights and technical advantages provided by the two (NGF and DCT) approaches will lead to a comprehensive microscopic theory for nonlinear optical phenomena in semiconductors. In this paper, we take a first step in this direction by presenting detailed one-to-one relations between the two formalisms within the χ(3) approximation. Starting from the standard perturbation theory of nonequilibrium Green's functions, we derive the essential minimal order factorization theorems, to arbitrary order, of DCT and the equations of motions for the interband polarization and the "biexcitonic" correlation function. This lays the foundation for future diagrammatic high-intensity generalizations of the DCT formalism.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 8341-8358 |
| Number of pages | 18 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 61 |
| Issue number | 12 |
| State | Published - 2000 |
Fingerprint
ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Green's function approach to the dynamics-controlled truncation formalism : Derivation of the χ(3) equations of motion. / Kwong, Nai-Hang; Binder, Rudolf.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 61, No. 12, 2000, p. 8341-8358.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Green's function approach to the dynamics-controlled truncation formalism
T2 - Derivation of the χ(3) equations of motion
AU - Kwong, Nai-Hang
AU - Binder, Rudolf
PY - 2000
Y1 - 2000
N2 - The dynamics-controlled truncation (DCT) formalism is a successful microscopic approach that describes coherent correlations in optically excited semiconductors. For practical reasons (including numerical evaluations), its application is limited to lowest-order nonlinearities, such as the χ(3) regime. Therefore, it is not convenient to use this formalism to examine the role played by incoherent many-body effects, such as carrier-carrier scattering and screening. Traditionally, the most powerful approach to study incoherent effects and correlations in highly excited semiconductors is that of nonequilibrium Green's functions (NGF). A combination of the insights and technical advantages provided by the two (NGF and DCT) approaches will lead to a comprehensive microscopic theory for nonlinear optical phenomena in semiconductors. In this paper, we take a first step in this direction by presenting detailed one-to-one relations between the two formalisms within the χ(3) approximation. Starting from the standard perturbation theory of nonequilibrium Green's functions, we derive the essential minimal order factorization theorems, to arbitrary order, of DCT and the equations of motions for the interband polarization and the "biexcitonic" correlation function. This lays the foundation for future diagrammatic high-intensity generalizations of the DCT formalism.
AB - The dynamics-controlled truncation (DCT) formalism is a successful microscopic approach that describes coherent correlations in optically excited semiconductors. For practical reasons (including numerical evaluations), its application is limited to lowest-order nonlinearities, such as the χ(3) regime. Therefore, it is not convenient to use this formalism to examine the role played by incoherent many-body effects, such as carrier-carrier scattering and screening. Traditionally, the most powerful approach to study incoherent effects and correlations in highly excited semiconductors is that of nonequilibrium Green's functions (NGF). A combination of the insights and technical advantages provided by the two (NGF and DCT) approaches will lead to a comprehensive microscopic theory for nonlinear optical phenomena in semiconductors. In this paper, we take a first step in this direction by presenting detailed one-to-one relations between the two formalisms within the χ(3) approximation. Starting from the standard perturbation theory of nonequilibrium Green's functions, we derive the essential minimal order factorization theorems, to arbitrary order, of DCT and the equations of motions for the interband polarization and the "biexcitonic" correlation function. This lays the foundation for future diagrammatic high-intensity generalizations of the DCT formalism.
UR - http://www.scopus.com/inward/record.url?scp=0001751051&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001751051&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0001751051
VL - 61
SP - 8341
EP - 8358
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 12
ER -