多带哈密顿量中热输运的Keldysh理论
Keldysh Theory of Thermal Transport in Multiband Hamiltonians
AI总结：
本研究基于非平衡Keldysh-Dyson形式体系构建热输运综合理论框架，对等处理热流与热磁化，将其应用于堆叠蜂窝铁磁体的Weyl磁振子研究，发现磁振子Chern绝缘相横向热导率最高的反常规结果。
摘要：
我们采用非平衡Keldysh-Dyson形式体系，建立了一套适用于受静态均匀温度梯度作用系统的综合理论框架。该框架结合Luttinger标量势与Moreno-Coleman-Tatara矢量势，将温度梯度产生的统计力诠释为机械力，二者共同模拟由能量守恒衍生的规范不变性。我们的方法能够对等处理热流与热磁化，从而拓展并推广了已有的形式体系。我们将推导得到的热导率结果用于研究堆叠蜂窝铁磁体中Weyl磁振子的热特性，该体系包含平庸绝缘相、磁振子Chern绝缘相以及三种Weyl磁振子相。与Berry曲率的预期相反，磁振子Chern绝缘相展现出最高的横向热导率。
英文摘要：
We establish a comprehensive theoretical framework for systems subjected to a static uniform temperature gradient, employing the non-equilibrium Keldysh-Dyson formalism. This framework interprets the statistical force due to the temperature gradient as a mechanical force, utilizing both Luttinger's scalar and Moreno-Coleman-Tatara's vector potentials, which collectively emulate the gauge invariance stemming from the conservation of energy. Our approach has the ability to treat heat current and heat magnetization on an equal footing, thereby extending and generalizing previous formalisms. The derived result for the thermal conductivity is applied to investigate the thermal characteristics of Weyl magnons in a stacked honeycomb ferromagnet featuring a trivial insulator phase, a magnon Chern insulator phase, and three Weyl magnon phases. Against the expectation from the Berry curvature, the magnon Chern insulator phase exhibits the highest transverse thermal conductivity.
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