论文标题

在Weyl semimetal中,声子介导的流体动力传输

Phonon-mediated Hydrodynamic Transport in a Weyl Semimetal

论文作者

Bernabeu, Joan, Cortijo, Alberto

论文摘要

我们从微观观点分析了由虚拟声子介导的电子 - 电子相互作用驱动的I型WEYL半学型中流体动力状态的可行性。还考虑杂质的影响以及真实声音的吸收/发射,将得出电导率和热导电性。在温度下,$ t $上方的bloch-grüneisen温度$ t_ \ textrm {bg} $,虚拟声子的行为与真实的声子类似,但是洛伦兹的比例是由依赖于费米表面几何形状的恒定优先级的。对于低于$ t_ \ textrm {bg} $的温度,不保留手性的过程在电阻率中引起$ t^2 $依赖性,打开一个窗口,其中势头支持的交互占主导地位的传输签名。我们定量地讨论了这个流体动力学窗口,并将其与有关该主题的最新实验文献置于背景下。

We analyze from a microscopic point of view the feasibility of a hydrodynamic regime in a type-I Weyl semimetal driven by electron-electron interactions mediated by virtual phonons. Considering also the effects of of impurities and the absorption/emission of real phonons, the electric and thermal conductivities are derived. At temperatures $T$ above the Bloch-Grüneisen temperature $T_\textrm{BG}$, virtual phonons behave similarly to real phonons, but the Lorenz ratio is modified by a constant prefactor dependent on the Fermi surface geometry. For temperatures below $T_\textrm{BG}$, processes that do not conserve chirality induce a $T^2$ dependence in the electric resistivity, opening a window where momentum-conserving interactions dominate transport signatures. We quantitatively discuss this hydrodynamic window and put it into context with recent experimental literature on the subject.

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