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首页> 外文期刊>Physical review.B.Condensed matter and materials physics >Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals. Ⅰ. Scattering by phonons, antiferromagnons, and helimagnons
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Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals. Ⅰ. Scattering by phonons, antiferromagnons, and helimagnons

机译：金属低温输送系数Boltzmann方程的精确解。 Ⅰ。散落声子，反霉菌和绝缘

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摘要

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.
机译：我们介绍了一种技术，用于在低温下限中为金属的电气和热传输系数的线性化Boltzmann方程精确解决方案。该呈现不必要的不​​受控制的近似，该近似已用于传输系数的整体方程的所有先前解决方案中。应用包括在非磁性金属中的电子 - 声子散射，以及对电气和导热率的奖金，以及在金属铁磁体，反铁磁体和绝缘仪中的热电器贡献。在本文中，我们的第一对，我们设置了技术并将其应用于声子，反霉菌和永久性的电子的散射。我们表明，对于电阻率的Bloch T〜5定律，T〜2的热电阻率法，以及由于声子和反铁磁体散射引起的热电驱的T法精确并准确地确定了阀门。 Helimagnons的相应精确结果分别是T〜（5/2），T〜（1/2）和t。在第二个论文中，我们将考虑铁磁磁场的散射。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2020年第21期|214306.1-214306.15|共15页
  • 作者

    J. Amarel; D. Belitz; T. R. Kirkpatrick;

  • 作者单位

    Department of Physics and Institute for Fundamental Science University of Oregon Eugene Oregon 97403 USA;

    Department of Physics and Institute for Fundamental Science University of Oregon Eugene Oregon 97403 USA Materials Science Institute University of Oregon Eugene Oregon 97403 USA;

    Institute for Physical Science and Technology University of Maryland College Park Maryland 20742 USA;

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