4-WAVE-MIXING THEORY BEYOND THE SEMICONDUCTOR BLOCH EQUATIONS

被引:26
作者
AXT, VM
STAHL, A
MAYER, EJ
BOLIVAR, PH
NUSSE, S
PLOOG, K
KOHLER, K
机构
[1] MAX PLANCK INST FESTKORPERFORSCH,D-70569 STUTTGART,GERMANY
[2] PAUL DRUDE INST FESTKORPERELEKTR,D-10117 BERLIN,GERMANY
[3] RHEIN WESTFAL TH AACHEN,INST HALBLEITERTECH 2,D-52074 AACHEN,GERMANY
[4] FRAUNHOFER INST APPL SOLID STATE PHYS,D-79108 FREIBURG,GERMANY
来源
PHYSICA STATUS SOLIDI B-BASIC RESEARCH | 1995年 / 188卷 / 01期
关键词
D O I
10.1002/pssb.2221880142
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Four-wave-mixing (FWM) experiments using a dynamical density matrix model of the semiconductor band edge are discussed. Higher-order correlation functions are retained which are neglected in the commonly used RPA treatment leading to the semiconductor Bloch equations. In order to terminate the hierarchy of the equations of motion for the higher-order density matrices systematically a truncation scheme controlled by orders in the driving field is applied. For any prescribed order n in the exciting field a closed set of equations is obtained from which the dielectric response up to order n can be calculated exactly. In addition it turns out that in a coherently driven system part of the remaining density matrices become redundant and can be eliminated. Four-wave-mixing experiments are dominated by third-order contributions. Applying the above-described results one ends up with only two functions in this case. These are the excitonic and the biexcitonic transition densities. As an application of our method the example of a GaAs single quantum well is studied. Two pulses with finite lengths are assumed such that both heavy-acid light-hole excitons are excited. The influence of the biexciton contribution on the polarization properties of the FWM signal is analyzed and compared with experimental results.
引用
收藏
页码:447 / 456
页数:10
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