论文标题
Mott可变范围跳跃中的热电效应
Thermoelectric Effect in Mott Variable-Range Hopping
论文作者
论文摘要
基于Kubo-Luttinger线性响应理论与安德森本地化的缩放理论相结合,预测了迁移率边缘附近的定位长度的能量依赖性,我们研究了无序系统表现出MOTT可变范围跳跃(VRH)的热电响应。我们发现,在$ d $二维系统中,VRH传导的低温sebeck系数因$ s \ propto t^{d/(d+1)} $而变化,这与广泛使用的表达式不同,$ s \ propto t^{(d-1)/(d-1)/(d+1)/(d+1)} $,基于能量 - 基于能量的定位。可以看出,thiospinel cucrtis $ _4 $的低$ t $行为与新计划完全一致。
On the basis of the Kubo-Luttinger linear response theory combined with the scaling theory of Anderson localization predicting the energy dependence of localization length near the mobility edge, we have studied the thermoelectric response of a disordered system exhibiting Mott variable-range hopping (VRH). We found that the low-tempetature Seebeck coefficient for VRH conduction in a $d$-dimensional system varies as $S\propto T^{d/(d+1)}$, which is different from the widely used expression, $S\propto T^{(d-1)/(d+1)}$, based on the energy-independent localization length. It is seen that the low-$T$ behavior of $S(T)$ of the thiospinel CuCrTiS$_4$ is in full agreement with the new scheme.