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首页> 外文期刊>Physica, B. Condensed Matter >Influence of magnetic quantization on the Einstein relation in non-linear optical, optoelectronic and related materials: Simplified theory, relative comparison and suggestion for experimental determination
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Influence of magnetic quantization on the Einstein relation in non-linear optical, optoelectronic and related materials: Simplified theory, relative comparison and suggestion for experimental determination

机译：磁性量子化对非线性光学，光电和相关材料中爱因斯坦关系的影响：简化的理论，相对比较和实验确定的建议

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In this paper, we have investigated the Einstein relation for the diffusivity-to-mobility ratio (DMR) under magnetic quantization in non-linear optical materials on the basis of a newly formulated electron dispersion law by considering the crystal field constant, the anisotropies of the momentum-matrix element and the spin-orbit splitting constant, respectively, within the frame work of k.p formalism. The corresponding result for the three-band model of Kane (the conduction electrons of III-V, ternary and quaternary compounds obey this model) forms a special case of our generalized analysis. The DMR under magnetic quantization has also been investigated for II-VI (on the basis of Hopfield model), bismuth (using the models of McClure and Choi, Cohen, Lax and parabolic ellipsoidal, respectively), and stressed materials (on the basis of model of Seiler et al.) by formulating the respective electron statistics under magnetic quantization incorporating the respective energy band constants. It has been found, taking n-CdGeAs2, n-Hg1-xCdxTe, p-CdS, and stressed n-InSb as examples of the aforementioned compounds, that the DMR exhibits oscillatory dependence with the inverse quantizing magnetic field due to Subhnikov de Haas (SdH) effect with different numerical values. The DMR also increases with increasing carrier degeneracy and the nature of oscillations are totally dependent on their respective band structures in various cases. The classical expression of the DMR has been obtained as a special case from the results of all the materials as considered here under certain limiting conditions, and this compatibility is the indirect test of our generalized formalism. In addition, we have suggested an experimental method of determining the DMR for degenerate materials under magnetic quantization having arbitrary dispersion laws. The three applications of our results in the presence of magneto-transport have further been suggested. (C) 2008 Elsevier B.V. All rights reserved.
机译：在本文中，我们根据新制定的电子色散定律，考虑了晶体场常数，各向异性和各向异性，研究了非线性光学材料中磁量化条件下扩散率-迁移率（DMR）的爱因斯坦关系。在kp形式主义的框架内，动量矩阵元素和自旋轨道分裂常数分别存在。凯恩三能带模型的相应结果（III-V，三元和四元化合物的传导电子服从该模型）构成了我们广义分析的一个特例。还对II-VI（基于Hopfield模型），铋（分别使用McClure和Choi，Cohen，Lax和抛物线形椭球体的模型）和受应力材料（基于Mb的磁性）下的磁量化DMR进行了研究。 （Seiler et al。）的模型（Seiler et al。）。已经发现以n-CdGeAs2，n-Hg1-xCdxTe，p-CdS和应力n-InSb作为上述化合物的示例，由于Subhnikov de Haas（ SdH）效果具有不同的数值。随着载流子简并性的增加，DMR也增加，并且在各种情况下，振荡的性质完全取决于它们各自的能带结构。作为特殊情况，DMR的经典表达式是在某些限制条件下从此处考虑的所有材料的结果中获得的，这是特例，这种兼容性是对我们广义形式主义的间接检验。另外，我们提出了一种实验方法，该方法可以在具有任意色散定律的磁量化条件下确定简并材料的DMR。我们进一步提出了在磁传输存在下我们的结果的三个应用。 （C）2008 Elsevier B.V.保留所有权利。

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