arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1406.4609cond-mat.mtrl-scinlin.CD
收藏

《Jahn-Teller Rattling》

Chaos in Jahn-Teller Rattling

Takashi Hotta, Akira Shudo

摘要:

我们揭示了混沌行为隐藏在能量谱的Jahn-Teller离子振动的立方非谐势作为一个典型的模型,在笼状结构材料的嘎嘎声。当我们计算本振子系统本征能量的最近邻能级间距分布$P(s)$时,我们观察到随着三次非谐性的增加,$P(s)$从泊松分布向维格纳分布的转变,表明非谐Jahn-Teller振动中出现了混沌。通过对$P(s)$的分析,确定了混沌区的能量尺度,并讨论了在比热实验中观察混沌行为的可能途径。非线性物理学中的混沌可以通过凝聚态物理中的标准实验来检测,这是一个有趣的可能性。

英文摘要:

We unveil chaotic behavior hidden in the energy spectrum of a Jahn-Teller ion vibrating in a cubic anharmonic potential as a typical model for rattling in cage-structure materials. When we evaluate the nearest-neighbor level-spacing distribution $P(s)$ of eigenenergies of the present oscillator system, we observe the transition of $P(s)$ from the Poisson to the Wigner distribution with the increase of cubic anharmonicity, showing the occurrence of chaos in the anharmonic Jahn-Teller vibration. The energy scale of the chaotic region is specified from the analysis of $P(s)$ and we discuss a possible way to observe chaotic behavior in the experiment of specific heat. It is an intriguing possibility that chaos in nonlinear physics could be detected by a standard experiment in condensed matter physics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑