Properties of the relaxation time distribution underlying the Kohlrausch–Williams–Watts photoionization of the DX centers in Cd1−xMnxTe mixed crystals
Properties of the relaxation time distribution underlying the Kohlrausch–Williams–Watts photoionization of the DX centers in Cd1−xMnxTe mixed crystals
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Cd1−xMnxTe 混合晶体中 DX 中心 Kohlrausch-Williams-Watts 光电离作用下的弛豫时间分布特性
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发表时间：
2009
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通讯作者：
E. Płaczek
中科院分区：
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作者：
J. Trzmiel;K. Weron;J. Janczura;E. Płaczek
在本文中，我们阐明了铟和镓掺杂的 Cd1−xMnxTe 混合晶体中 Kohlrausch-Williams-Watts (KWW) 光电导累积的弛豫率和弛豫时间分布之间的关系。我们讨论相应概率密度函数的渐近性质的作用。我们表明，弛豫率分布作为完全不对称的 α 稳定分布，导致有效弛豫率的平均值无穷大。相反，与之相关的弛豫时间分布导致有效弛豫时间的平均值有限。从实验数据分析可以看出，对于所有研究的样品，KWW 指数 α 在 (0.6–0.99) 范围内随着光子通量的增加而线性减小，并且在掺镓材料的情况下其值分布更广。我们还观察到平均弛豫时间对特征材料时间常数的线性依赖性，这与理论模型一致。
In this paper we clarify the relationship between the relaxation rate and relaxation time distributions underlying the Kohlrausch–Williams–Watts (KWW) photoconductivity build-ups in indium- and gallium-doped Cd1−xMnxTe mixed crystals. We discuss the role of asymptotic properties of the corresponding probability density functions. We show that the relaxation rate distribution, as a completely asymmetric α-stable distribution, leads to an infinite mean value of the effective relaxation rate. In contrast, the relaxation time distribution related to it leads to a finite mean value of the effective relaxation time. It follows from the experimental data analysis that for all the investigated samples the KWW exponent α decreases linearly with increasing photon flux in the range of (0.6–0.99) and its values are more spread in the case of gallium-doped material. We also observe a linear dependence of the mean relaxation time on the characteristic material time constant, which is consistent with the theoretical model.