论文标题
在流体动力学方面的Weyl半法中的热传输
Heat transport in Weyl semimetals in the hydrodynamic regime
论文作者
论文摘要
我们研究在流体动力学方面的静脉半含量中的热传输，其时间逆转对称性。在中性点，纵向热电导率受动量松弛（弹性）时间的控制，而纵向电导率则由非弹性散射时间控制。在流体动力学状态下，这导致了较大的纵向洛伦兹的比率。随着化学势从中立点调节，由于Seebeck效应抑制了热电导率，纵向Lorenz的比率降低。 Seebeck效应（热电器）和开路热电导率与电导率交织在一起。与非相互作用模型相比，Seebeck张量的大小是参数范围的。虽然Seebeck响应的纵向成分随着电动霍尔电导率的增加而减小，但以非单调方式取决于$σ_{xy} $。通过对Seebeck响应的影响，大$σ_{xy} $在有限的化学势下增强了纵向洛伦兹的比率。在中立点，横向热电导率由Wiedemann-Franz定律确定。增加了与中性点的距离，横向热量效应增强了横向热电导率，并遵循其对$σ_{xy} $的非单调依赖性。
We study heat transport in a Weyl semimetal with broken time-reversal symmetry in the hydrodynamic regime. At the neutrality point, the longitudinal heat conductivity is governed by the momentum relaxation (elastic) time, while longitudinal electric conductivity is controlled by the inelastic scattering time. In the hydrodynamic regime this leads to a large longitudinal Lorenz ratio. As the chemical potential is tuned away from the neutrality point, the longitudinal Lorenz ratio decreases because of suppression of the heat conductivity by the Seebeck effect. The Seebeck effect (thermopower) and the open circuit heat conductivity are intertwined with the electric conductivity. The magnitude of Seebeck tensor is parametrically enhanced, compared to the non-interacting model, in a wide parameter range. While the longitudinal component of Seebeck response decreases with increasing electric anomalous Hall conductivity $σ_{xy}$, the transverse component depends on $σ_{xy}$ in a non-monotonous way. Via its effect on the Seebeck response, large $σ_{xy}$ enhances the longitudinal Lorenz ratio at a finite chemical potential. At the neutrality point, the transverse heat conductivity is determined by the Wiedemann-Franz law. Increasing the distance from the neutrality point, the transverse heat conductivity is enhanced by the transverse Seebeck effect and follows its non-monotonous dependence on $σ_{xy}$.
