Mobility of an electron in a multimode polar lattice

Mobility of an electron in a multimode polar lattice
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DOI:
10.1103/physrevb.60.299
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发表时间:
1999-07-01
期刊:
影响因子:
3.7
通讯作者:
Biaggio, I
Biaggio, I
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Hellwarth, RW;Biaggio, I

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考虑了自由电子与具有多个红外光声子模的极性晶格的相互作用。从完整的拉格朗日描述的电子晶格系统中存在的一个应用领域,我们得到一个有效的电子-声子耦合常数和一个有效的纵向光-声子频率,我们认为在广泛的,现有的极化子理论中使用时,给出准确的预测。我们应用这种形式主义的强耦合大极化子的Bi 12 SiO 20,玻尔兹曼方程不能适用。我们计算了一个理论预测的大极化子迁移率作为温度的函数,这给出了很好的协议与实验。我们确定的温度依赖性的费曼的变分参数upperdated和w,以帮助我们的预测。[S0163-1829(99)01426-5]。
The interaction of a free electron with a polar lattice possessing more than one infrared-active optical-phonon mode is considered. From the full Lagrangian describing the electron-lattice system in the presence of an applied field we derive an effective electron-phonon coupling constant and an effective longitudinal optical-phonon frequency that we argue give accurate predictions when used in the extensive, existing polaron theories. We apply this formalism to the strongly coupled large polaron of Bi12SiO20, where the Boltzmann equation cannot apply. We calculate a theoretical prediction for the large polaron mobility as a function of temperature which gives good agreement with experiment. We determine the temperature dependence of Feynman's variational parameters upsilon and w to assist in our predictions. [S0163-1829(99)01426-5].