论文标题
玻尔兹曼方程的精确溶液，用于金属I的低温传输系数：通过声子，抗铁磁子和Helimagnons散射
Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals I: Scattering by phonons, antiferromagnons, and helimagnons
论文作者
论文摘要
我们提出了一种用于线性化玻尔兹曼方程的精确溶液，用于在低温极限下金属中的电和热传输系数。这使得不必要的不受控制的近似值已用于运输系数的整体方程所有以前的解决方案。应用包括在非磁性金属中的电子散射，以及对电导率和热电器的镁贡献，以及金属铁磁铁，抗铁磁铁和helimagnets中的热电器。在本文中，第一对，我们设置了该技术，并将其应用于通过声子，抗fiferromagnons和Helimagnons的电子散射。我们显示，电阻率的Bloch $ t^5 $法律，$ t^2 $法律，用于温度电阻率以及由于声子和抗Fiferromagnon散射而导致的热电器的$ t $ Law是准确的，并确切确定预先成品。 Helimagnons的相应确切结果分别为$ t^{5/2} $，$ t^{1/2} $和$ t $。在第二篇论文中，我们将考虑Ferromagnons的散射。
We present a technique for an exact solution of the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. This renders unnecessary an uncontrolled approximation that has been used in all previous solutions of the integral equations for the transport coefficients. Applications include electron-phonon scattering in nonmagnetic metals, as well as the magnon contribution to the electrical and thermal conductivities, and to the thermopower, in metallic ferromagnets, antiferromagnets, and helimagnets. In this paper, the first of a pair, we set up the technique and apply it to the scattering of electrons by phonons, antiferromagnons, and helimagnons. We show that the Bloch $T^5$ law for the electrical resistivity, the $T^2$ law for the thermal resistivity, and the $T$ law for the thermopower due to phonon and antiferromagnon scattering are exact, and determine the prefactors exactly. The corresponding exact results for helimagnons are $T^{5/2}$, $T^{1/2}$, and $T$, respectively. In a second paper we will consider the scattering by ferromagnons.
