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arXiv 1306.3616cond-mat.mtrl-scicond-mat.mes-hall
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非线性光学响应中激子-激子关联的含时密度泛函理论

Time-dependent density-functional theory of exciton-exciton correlations in the nonlinear optical response

Volodymyr Turkowski, Michael N. Leuenberger

摘要:

利用含时密度泛函理论(TDDFT)方法分析了半导体光学响应中可能存在的非线性激子-激子关联效应。为此,我们推导出激子极化的非线性(三阶)TDDFT方程。在这个方程中,非线性时间相关效应由有效激子-激子相互作用的时间相关(非绝热)部分描述,其取决于交换相关(XC)核。我们应用该方法研究了GaAs量子阱的非线性光学响应。特别地,我们计算了系统的二维傅立叶谱,并与实验数据进行了比较。我们发现,有必要使用非绝热XC核来描述激子束缚态-双激子,这是由于延迟TDDFT激子-激子相互作用形成的。

英文摘要:

We analyze possible nonlinear exciton-exciton correlation effects in the optical response of semiconductors by using a time-dependent density-functional theory (TDDFT) approach. For this purpose, we derive the nonlinear (third-order) TDDFT equation for the excitonic polarization. In this equation, the nonlinear time-dependent effects are described by the time-dependent (non-adiabatic) part of the effective exciton-exciton interaction, which depends on the exchange-correlation (XC) kernel. We apply the approach to study the nonlinear optical response of a GaAs quantum well. In particular, we calculate the 2D Fourier spectra of the system and compare it with experimental data. We find that it is necessary to use a non-adiabatic XC kernel to describe excitonic bound states - biexcitons, which are formed due to the retarded TDDFT exciton-exciton interaction.

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