$x$ $\u2264$ 0.03的$R$$_x$Lu$_{1-x}$B$_{12}$固溶体的输运性质与科勒（Kohler）定则：金属十二硼化物中是否真的存在电荷条纹？
Transport properties and Kohler's rule in $R$$_x$Lu$_{1-x}$B$_{12}$ solid solutions with $x$ $\leq$ 0.03: do charge stripes really exist in metallic dodecaborides?
AI总结：
本研究通过对低掺杂$R$$_x$Lu$_{1-x}$B$_{12}$固溶体的输运性质测量，验证了宽温区下科勒定则的普适性，否定了动态电荷条纹散射通道的存在，提出输运各向异性源于电子-声子散射各向异性与费米面拓扑效应。
摘要：
众所周知，非磁性金属LuB$_{12}$表现出显著的输运各向异性，文献中曾用多种机制对其进行解释，包括在约150K以下可能形成动态电荷条纹的猜想。本文研究了以LuB$_{12}$为基质、通式为$R$$_x$Lu$_{1-x}$B$_{12}$（$R$为Dy、Er、Tm、Yb、Lu）且$x$ $\u2264$ 0.03的固溶体的输运性质。实验在高质量单晶上开展，温度范围为1.8 $-$ 300K，磁场最高达82kOe。文中讨论了将多种模型应用于零场电阻率分析的情况。研究的所有化合物中，横向磁阻的正大二次分量$Δ$$ρ$/$ρ$($H$) = $μ_D^2$$H^2$占主导，对其进行的唯象描述可估算出漂移迁移率呈指数变化$μ_D$ $\u223c$ $T^{-α}$，其中指数$α$ $\u2248$ 0.95 $-$ 1.46。为验证由动态电荷条纹的可能存在导致的额外散射通道是否存在，我们研究了Dy$_{0.01}$Lu$_{0.99}$B$_{12}$和Tm$_{0.03}$Lu$_{0.97}$B$_{12}$组分的磁阻各向异性，包括在不同电流与磁场几何构型下的磁场扫描测量。所得数据证实，在30 $-$ 240K的宽温度区间内，无论电流与磁场的取向如何，半经验的科勒（Kohler）定则均成立。该结果被视为不存在由条纹导致的额外散射通道的证据。我们认为，$R$$_x$Lu$_{1-x}$B$_{12}$中的电荷输运各向异性一方面源于电子-声子散射的各向异性，另一方面（在低温下）源于费米面（FS）的拓扑效应。
英文摘要：
Nonmagnetic metal LuB$_{12}$ is known to exhibit considerable transport anisotropy, which was explained in literature by different mechanisms including possible formation of dynamic charge stripes below the point $\sim$ 150K. Here we study transport properties of solid solutions based on LuB$_{12}$ host compound with general formula $R$$_x$Lu$_{1-x}$B$_{12}$ ($R$$-$Dy, Er, Tm, Yb, Lu) and with $x$ $\leq$ 0.03. The experiment has been performed on single crystals of high quality in the temperature range 1.8 $-$ 300K in magnetic fields up to 82kOe. The application of several models to the analysis of zero-field resistivity is discussed. A phenomenological description of large positive quadratic component of transverse magnetoresistance $Δ$$ρ$/$ρ$($H$) = $μ_D^2$$H^2$, which dominates for all compounds under investigation, allows to estimate drift mobility exponential changes $μ_D$ $\sim$ $T^{-α}$ with the index $α$ $\approx$ 0.95 $-$ 1.46. In order to check the existence of additional channel of scattering, caused by probable presence of dynamic charge stripes, we performed the study of the anisotropy of magnetoresistance in Dy$_{0.01}$Lu$_{0.99}$B$_{12}$ and Tm$_{0.03}$Lu$_{0.97}$B$_{12}$ compositions including the measurements of the field scans with different current and field geometries. The data obtained allow us to confirm the fulfillment of semi-empirical Kohler's rule in a wide interval of temperatures 30 $-$ 240K regardless of the orientation of current and magnetic field. This result was attributed as a proof of the absence of additional channel of scattering caused by stripes. We argue, that charge-transport anisotropy is originated in $R$$_x$Lu$_{1-x}$B$_{12}$ due to the anisotropy of electron-phonon scattering on the one hand and the effects of Fermi surface (FS) topology (at low temperatures) on the other.
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。
