论文标题
电子电流来自倾斜的狄拉克锥材料的逐渐加热
Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
论文作者
论文摘要
托有倾斜的狄拉克/韦尔葬礼的材料为固态物理学提供了新兴的时空结构。他们接受了有效的时空度量的几何描述。使用这种植根于基础晶格的长距离行为的指标,我们以$ 2+1 $ $ 1 $的时空维度制定了倾斜dirac/weyl材料的流体动力学理论。我们发现,通过公制的非对角线组件将空间和时间融合产生:(i)响应$ termal $ thement $ gertient,$ \ partial_t t $和(ii)非零符号霍尔电导率$ q $σ^$ j $ quarize $ quartize quartize $ quartize quartize $ quartize quartize $ quartize $空间方向。上面的发现(i)可以在实验室中以最先进的冷却/加热速率设置来证明,这意味着这些材料中的非平凡的新兴时空几何形状使它们具有令人着迷的能力,可以收获自然可用的$ \ \ \ \ \ fartial_t t $ t $ t $热沙漠的来源。我们进一步发现了对电导率的倾斜引起的贡献,该电导率是drude极的后代,可以在实验上与drude Pole本身脱离。
Materials hosting tilted Dirac/Weyl fermions provide an emergent spacetime structure for the solid state physics. They admit a geometric description in terms of an effective spacetime metric. Using this metric that is rooted in the long-distance behavior of the underlying lattice, we formulate the hydrodynamic theory for tilted Dirac/Weyl materials in $2+1$ spacetime dimensions. We find that the mingling of space and time through the off-diagonal components of the metric gives rise to: (i) heat and electric currents in response to the $temporal$ gradient of temperature, $\partial_t T$ and (ii) a non-zero symmetric Hall-like conductance $σ^{ij}\propto ζ^iζ^j$ where $ζ^j$ parameterize the tilt in $j$'th space direction. The finding (i) above that can be demonstrated in the laboratory in state of the art cooling/heating rate settings, implies that the non-trivial emergent spacetime geometry in these materials empowers them with a fascinating capability to harvest the naturally available sources of $\partial_t T$ of hot deserts to produce electric energy. We further find a tilt-induced contribution to the conductivity which is an offspring of Drude pole and can be experimentally disentangled from the Drude pole itself.