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arXiv 2203.03029cond-mat.mes-hallcond-mat.dis-nn
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非晶态合金中的霍尔系数:由于弱局域化和电子-电子相互作用引起的量子修正的临界行为和定量检验

Hall coefficient in amorphous alloys: critical behavior and quantitative test of quantum corrections due to weak localization and electron-electron interactions

A. Rogachev, H. Ikuta, U. Mizutani

摘要:

在这里,我们提出了一系列的$Ti_xSi_{100-x}$无定形达到临界浓度,$x_c\approx9-9.5$的$R_H$的测量。对于$x\geq17$,霍尔系数显示了微扰理论预测的行为,$R_H^{-1}\left(T\right)=R_H^{-1}\left(0\right)+bT^{1/2}$,其延伸到150 K的温度。在具有较低$x$的合金中,温度依赖性变得更强; $R_H\left(0\right)$在$x_c$处发散,显示临界行为。我们用高钛含量合金的电导率和霍尔系数数据来检验电导率的量子修正理论。我们发现,由于弱局域化的校正是由电子-声子散射的速率随温度变化的$τ_{ep}^{-1}=A_{ep}T^2$占主导地位。所提取的参数$A_{ep}$与考虑晶格振动对杂质不完全拖曳的理论符合得很好。从弱局域化修正中提取的自旋-轨道散射时间比标准估计值$τ_{so}\approxτ\left(\hbar c/e^2Z\right)^4$给出的时间大两个数量级。利用Ti-Si和$\left(Ag_{0.5}Cu_{0.5}\right)_{100-x}Ge_x$非晶合金的Hall系数和比热数据对EEI量子修正理论进行了检验,这使我们能够估计理论所需的所有微观参数。我们发现,在我们的测量精度范围内,EEI理论完全适用于遵循自由电子模型的合金[ $\left(Ag_{0.5}Cu_{0.5}\right)_{100-x}Ge_x$ with $x\le50$]。在所有的Ti-Si合金和Ag-Cu-Ge合金中观察到的$x\geq60$与理论的偏差可以定性地解释为系统中的电子屏蔽减弱。

英文摘要:

Here, we present the measurements of $R_H$ in a series of $Ti_xSi_{100-x}$ amorphous reaching the critical concentration, $x_c\approx9-9.5$. For $x\geq17$, the Hall coefficient displays the behavior predicted by the perturbation theory, $R_H^{-1}\left(T\right)=R_H^{-1}\left(0\right)+bT^{1/2}$, which extends up to the temperature 150 K. The temperature dependence gets stronger in alloys with lower $x$; $R_H\left(0\right)$ diverges at $x_c$ displaying critical behavior. We used the combined conductivity and Hall coefficient data for alloys with high Ti content to test the theories of quantum corrections to conductivity. We found that the correction due to weak localization is dominated by the electron-phonon scattering with the rate varying with temperature as $τ_{ep}^{-1}=A_{ep}T^2$. The extracted parameter $A_{ep}$ is in good agreement with the theory that considers the incomplete drag of impurities by lattice vibrations. The spin-orbit scattering time extracted from the weak localization correction was found to be two orders of magnitude larger than the time given by the standard estimate $τ_{so}\approxτ\left(\hbar c/e^2Z\right)^4$. The theory of the EEI quantum correction was tested using the Hall coefficient and specific heat data for Ti-Si and $\left(Ag_{0.5}Cu_{0.5}\right)_{100-x}Ge_x$ amorphous alloys, which allowed us to estimate all microscopic parameters needed by the theory. We found that, within the accuracy of our measurements, the EEI theory works exactly for alloys that follow the free electron model [$\left(Ag_{0.5}Cu_{0.5}\right)_{100-x}Ge_x$ with $x\le50$.] The deviation from the theory observed in all Ti-Si alloys and in Ag-Cu-Ge alloys with $x\geq60$ can be qualitatively explained by weakening of the electron screening in the systems.

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