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arXiv 2009.02787cond-mat.stat-mech
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金属中低温输运系数玻尔兹曼方程的精确解II:铁磁振子的散射

Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals II: Scattering by ferromagnons

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

摘要:

在以前的文件(文件I)中,我们开发了一种技术,用于精确求解线性化玻尔兹曼方程的电和热输运系数在金属中的低温极限。在这里,我们采用这种技术来确定磁振子的贡献的电导率和热导率,和热电势,在金属铁磁体。对于电阻率$ρ$在渐近低温,我们发现$ρ\propto \exp{(-T_{\rm min}/T)}$,与$T_{\rm min}$的能量尺度,结果从交换间隙和温度无关的前因子的指数。导热率的相应结果为$σ_h \propto T^3\,\exp{(T_{\rm min}/T)}$,热功率为$S \propto T$。所有这些结果都是精确的,包括前因子。

英文摘要:

In a previous paper (Paper I) we developed a technique for exactly solving the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. Here we adapt this technique to determine the magnon contribution to the electrical and thermal conductivities, and to the thermopower, in metallic ferromagnets. For the electrical resistivity $ρ$ at asymptotically low temperatures we find $ρ\propto \exp{(-T_{\rm min}/T)}$, with $T_{\rm min}$ an energy scale that results from the exchange gap and a temperature independent prefactor of the exponential. The corresponding result for the heat conductivity is $σ_h \propto T^3\,\exp{(T_{\rm min}/T)}$, and thermopower is $S \propto T$. All of these results are exact, including the prefactors.

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。

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