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首页> 外文期刊>Physica, B. Condensed Matter >Assignment of quasi-Landau levels in magneto-oscillatory spectra in cuprous oxide to classical unstable trajectories of hydrogen type atoms
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Assignment of quasi-Landau levels in magneto-oscillatory spectra in cuprous oxide to classical unstable trajectories of hydrogen type atoms

机译：氧化亚铜磁振荡光谱中的准朗道能级对氢型原子经典不稳定轨道的分配

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It is found, for the first time in the field of solid state spectroscopy, that quasi-landau levels in magneto-oscillatory spectra in cuprous oxide reflect "classical non-integrability." Cuprous oxide is well known to exhibit excitonic absorption spectra of typical wannier type near the absorption edge in yellow spectral region, Magneto-oscillatory spectra are observed in the region above the limiting energy of the exciton series in magnetic fields. The spectra are measured at liquid helium temperature with right and left circularly polarized light in magnetic fields up to 4.5 T generated by a superconducting magnet. The observed spectra look like "Landau levels" corresponding to the optical transitions between states of the hole in a valence band and those of the electron in a conduction band without Coulomb attraction between them qualitatively, but never coincide with the Landau levels quantitatively, By calculating inverse Fourier transform of the observed spectra (IFFT spectra), three peaks are found in the auto-correlation function of the excited excitonic state. These spectra are interpreted as those of a hydrogen type atom with the effective masses of the electron-hole pair in homogeneous magnetic field, which is known to be a typical non-integrable system in classical mechanics. Instead of obtaining the quantum mechanical motions of wave packet, the classical trajectories are numerically calculated. First peak of the IFFT spectra is assigned to the trajectories on which the wave packet circulates and returns to approximately to the starting point after the duration corresponding to the first peak. Immediately after that, the trajectories are rapidly apart from the starting point on account of their instability, which reflects the classical non-integrability of the system. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 11]
机译：在固态光谱学领域中首次发现，氧化亚铜的磁振荡光谱中的准landau能级反映了“经典的不可积性”。众所周知，氧化亚铜在黄色光谱区域的吸收边缘附近表现出典型的旺尼型激子吸收光谱。在磁场中，在激子系列的极限能量以上的区域中观察到磁振荡光谱。光谱是在液氦温度下，在由超导磁体产生的最高4.5 T的磁场中，通过左右圆偏振光测量的。观察到的光谱看起来像“兰道能级”，对应于价带中空穴的状态与导带中电子的态之间的光学跃迁，它们之间没有定性的库仑吸引，但在定量上与兰道能级在定量上不一致，对观察到的光谱（IFFT光谱）进行傅立叶逆变换，在激发激子态的自相关函数中发现了三个峰。这些光谱被解释为具有均质磁场中电子-空穴对有效质量的氢型原子的光谱，这是经典力学中典型的不可积分系统。代替获得波包的量子力学运动，数值计算了经典轨迹。 IFFT频谱的第一个峰被分配给轨迹，波包在该轨迹上循环并在对应于第一个峰的持续时间之后大致返回到起始点。此后，由于其不稳定性，轨迹立即与起点分离，这反映了系统的经典不可集成性。 （C）1998 Elsevier Science B.V.保留所有权利。 [参考：11]

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