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首页> 外文期刊>Physical review >Thermoelectric effect of correlated metals: Band-structure effects and the breakdown of Mott's formula
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Thermoelectric effect of correlated metals: Band-structure effects and the breakdown of Mott's formula

机译：相关金属的热电效应：带结构效应和莫特公式的分解

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We study the thermoelectric effect of two-dimensional metals on a square lattice within semiclassical Boltzmann transport theory with particular focus on electron-electron scattering. We compute the electrical conductivity and the Seebeck coefficient as a function of band filling and temperature for generically chosen hopping parameters in a two-dimensional tight-binding model. The Boltzmann equation is solved numerically after computing the full collision integral, taking the angular and radial degrees of freedom into account. These degrees of freedom of the collision integral, neglected in the standard single-relaxation-time approximation, play an important role if the transport coefficients show unconventional features. Within our detailed numerical simulation, we show that the widely used Mott formula to compute the Seebeck effect is not sufficient to describe the thermoelectric effect in the presence of strong electron-electron scattering. Furthermore, we study the Seebeck coefficient and its temperature dependence in the vicinity of a Lifshitz transition and demonstrate that it shows remarkable parallels to transport features near a quantum critical point.
机译：我们在半经典玻尔兹曼输运理论中研究了二维金属在正方形晶格上的热电效应，尤其着重于电子-电子散射。对于二维紧密绑定模型中通常选择的跳跃参数，我们计算电导率和塞贝克系数作为带填充和温度的函数。在计算了完整的碰撞积分后，考虑了角度和径向的自由度，对Boltzmann方程进行了数值求解。如果传输系数显示出非常规特征，则在标准的单松弛时间近似中忽略的碰撞积分自由度将发挥重要作用。在我们详细的数值模拟中，我们表明，广泛使用的Mott公式来计算塞贝克效应不足以描述存在强电子-电子散射的热电效应。此外，我们研究了Lifshitz跃迁附近的塞贝克系数及其对温度的依赖性，并证明它与量子临界点附近的输运特征具有显着的相似性。

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