Magneto-Stark and Zeeman effect as origin of second harmonic generation of excitons in Cu2O
Magneto-Stark and Zeeman effect as origin of second harmonic generation of excitons in
Cu2O
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磁斯塔克效应和塞曼效应是 Cu2O 中激子二次谐波产生的起源
DOI：
10.1103/physrevb.101.115201
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发表时间：
2020
影响因子：
3.7
通讯作者：
M. Glazov
中科院分区：
文献类型：
--
作者：
A. Farenbruch;J. Mund;D. Fröhlich;D. Yakovlev;D. Yakovlev;M. Bayer;M. Bayer;M. A. Semina;M. Glazov
本文报道了氧化亚铜${\mathrm{Cu}}_{2}\mathrm{O}$中黄系列激子激发态（$n\ensuremath{\geqslant}3$）的磁场诱导二次谐波产生（SHG）和双光子吸收的实验和理论研究.在这种中心对称材料中，由于光沿低对称方向沿着传播的电偶极和电四极/磁偶极跃迁的建设性相互作用，可以发生SHG [111]或[112]。通过在Voigt配置中施加磁场，还允许SHG沿[110]轴甚至高对称立方方向[001]沿着激发。结合对称性分析和微观理论，我们揭示了两个关键的贡献，磁场感应倍频：塞曼效应和磁斯塔克效应。我们证明了SHG强度对入射基频激光和出射SHG光束的线性偏振角的系统依赖性，这与Rommel等人的论文[Phys. Rev. B 101，115202（2020）]是互补的。在一般情况下，所得到的等值线图与对称性分析相结合，使人们能够确定唯一的字符所涉及的过渡。此外，通过选择合适的实验几何结构和极化结构，我们可以在磁场中分离塞曼效应和磁斯塔克效应。考虑到氧化亚铜的对称性和能带结构，我们提出了中心对称立方半导体中激子二次谐波产生的微观理论。基于发达的微观理论，我们确定的主要贡献的二阶非线性极化率的$S，P$，和$D$激子。我们分析了激子态之间的二次谐波强度的重新分配，无论是在存在和不存在的磁场，并表现出良好的协议与实验数据。随着激子主量子数的增加，磁斯塔克效应超过塞曼效应的影响。
We report on the experimental and theoretical investigation of magnetic-field-induced second harmonic generation (SHG) and two-photon absorption of excited exciton states ($n\ensuremath{\geqslant}3$) of the yellow series in the cuprous oxide ${\mathrm{Cu}}_{2}\mathrm{O}$. In this centrosymmetric material, SHG can occur due to constructive interplay of electric dipole and electric quadrupole/magnetic dipole transitions for light propagating along the low-symmetry directions [111] or [112]. By application of a magnetic field in Voigt configuration, SHG gets also allowed for excitation along the [110] axis and even the high-symmetry cubic direction [001]. Combining a symmetry analysis and a microscopic theory, we uncover the two key contributions to the magnetic-field-induced SHG: the Zeeman effect and the magneto-Stark effect. We demonstrate systematic dependencies of the SHG intensity on the linear polarization angles of the ingoing fundamental laser and the outgoing SHG beam, complementary to the paper by Rommel et al. [Phys. Rev. B 101, 115202 (2020)]. In general, the resulting contour plots in combination with a symmetry analysis allow one to determine uniquely the character of involved transitions. Moreover, we can separate in magnetic field the Zeeman and the magneto-Stark effect through appropriate choice of the experimental geometry and polarization configuration. We present a microscopic theory of the second harmonic generation of excitons in a centrosymmetric cubic semiconductor taking into account the symmetry and the band structure of cuprous oxide. Based on the developed microscopic theory, we identify the main contributions to the second-order nonlinear susceptibility of $S, P$, and $D$ excitons. We analyze the redistribution of SHG intensities between the excitonic states both in the absence and presence of the magnetic field and show good agreement with the experimental data. With increasing exciton principal quantum number, the magneto-Stark effect overpowers the influence of the Zeeman effect.
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影响因子：
8.6
作者：
Lafrentz, M.;Brunne, D.;Bayer, M.
通讯作者：
Bayer, M.
影响因子：
3.7
作者：
P. Rommel;J. Main;A. Farenbruch;J. Mund;D. Fröhlich;D. R. Yakovlev;M. Bayer;Ch. Uihlein
通讯作者：
Ch. Uihlein
氧化亚铜中黄色激子的磁斯塔克效应
影响因子：
3.7
作者：
Patric Rommel;Frank Schweiner;Jörg Main;Julian Heckötter;Marcel Freitag;Dietmar Fröhlich;Kevin Lehninger;Marc Aßmann;Manfred Bayer
通讯作者：
Manfred Bayer
影响因子：
64.8
作者：
Kazimierczuk, T.;Froehlich, D.;Bayer, M.
通讯作者：
Bayer, M.