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arXiv 2108.02875cond-mat.mes-hallcond-mat.mtrl-scicond-mat.quant-gascond-mat.stat-mechcond-mat.str-el
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磁振子热输运的量子Boltzmann方程

Magnonic thermal transport using the quantum Boltzmann equation

Kouki Nakata, Yuichi Ohnuma

摘要:

基于量子玻尔兹曼方程(QBE),我们给出了玻色体系中的热输运公式。首先,从量子动力学方程出发,利用杂质散射的玻恩近似,导出了玻色系统的QBE,并给出了温度梯度下的热输运公式。接下来,我们将该公式应用于磁振子。假设弛豫时间近似,并专注于线性响应制度,我们表明,纵向热导率的QBE表现出不同的行为从传统的。在准粒子近似下,量子边界元的热导率退化为德鲁德型,而在非准粒子近似下则不是。最后,将准粒子近似应用于量子边界效应,我们发现对传统玻尔兹曼方程的修正作为自能被积分到量子边界效应的谱函数中,这增强了热导率。因此,我们揭示了QBE的热输运性质超出了传统的。

英文摘要:

We present a formula for thermal transport in the bulk of Bose systems based on the quantum Boltzmann equation (QBE). First, starting from the quantum kinetic equation and using the Born approximation for impurity scattering, we derive the QBE of Bose systems and provide a formula for thermal transport subjected to a temperature gradient. Next, we apply the formula to magnons. Assuming a relaxation time approximation and focusing on the linear response regime, we show that the longitudinal thermal conductivity of the QBE exhibits the different behavior from the conventional. The thermal conductivity of the QBE reduces to the Drude-type in the limit of the quasiparticle approximation, while not in the absence of the approximation. Finally, applying the quasiparticle approximation to the QBE, we find that the correction to the conventional Boltzmann equation is integrated as the self-energy into the spectral function of the QBE, and this enhances the thermal conductivity. Thus we shed light on the thermal transport property of the QBE beyond the conventional.

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