论文标题
异常的动力学效应：Weyl semimetal的修饰电动力学
Dynamical Effects from Anomaly: Modified Electrodynamics in Weyl Semimetal
论文作者
论文摘要
我们讨论了从时间上破裂的Weyl半学的修改量子电动力学，并与$ u（1）$ gauge（电磁）场相结合。由于Weyl Semimetal的霍尔电导率，光子在特定方向上的柔软分散剂（例如$ \ hat {z} $）发挥了关键作用。由于软光子，$ \ hat {z} $中的费米亚速度在重新归一化组流量下与对数减小，以及良好的结构常数。同时，Fermions从软光子的自发发射（即Cherenkov辐射）中获得有限的寿命。在低能$ e $下，费米昂寿命的倒数为$τ^{ - 1} \ sim e/{\ rm polylog}（e）$。因此，即使Fermion准粒子最终在非常低的能量下定义得很好，但在宽的中间能量窗口上，Weyl Semimetal的行为就像边缘费米液体一样。从现象学上讲，我们的结果与出现的Weyl半含量更相关，其中费米子和光子都来自密切相关的晶格系统。讨论了可能的实验意义。
We discuss the modified quantum electrodynamics from a time-reversal-breaking Weyl semimetal coupled with a $U(1)$ gauge (electromagnetic) field. A key role is played by the soft dispersion of the photons in a particular direction, say $\hat{z}$, due to the Hall conductivity of the Weyl semimetal. Due to the soft photon, the fermion velocity in $\hat{z}$ is logarithmically reduced under renormalization group flow, together with the fine structure constant. Meanwhile, fermions acquire a finite lifetime from spontaneous emission of the soft photon, namely the Cherenkov radiation. At low energy $E$, the inverse of the fermion lifetime scales as $τ^{-1}\sim E/{\rm PolyLog}(E)$. Therefore, even though fermion quasiparticles are eventually well-defined at very low energy, over a wide intermediate energy window the Weyl semimetal behaves like a marginal Fermi liquid. Phenomenologically, our results are more relevant for emergent Weyl semimetals, where the fermions and photons all emerge from strongly correlated lattice systems. Possible experimental implications are discussed.
