论文标题
非线性平面效应的量子振荡,表示Weyl半法中手性异常
Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
论文作者
论文摘要
鉴于在正在进行的实验中搜索著名的手性异常(CA)的签名(CA),因此,线性响应方案中的量子振荡被认为是WSMS中Magneto运输中的重要签名,这是由于其与CA的独特关系。从半经典状态到符合Landau量化的Boltzmann运输理论框架内的非线性平面效应(NPE),我们在这里提出NPES中的量子振荡可以用作WSMS中CA的可靠签名。通过获得分析表达式,我们表明,与仅存在一个周期尺度的线性响应相比,非线性效应的量子振荡在1/B(B是磁场)中表现出两个不同的周期尺度(B是磁场)。我们发现,NPE中的这些量子振荡归因于手性化学电位(CCP)的偏差,该偏差与有限带倾斜和横向电场成正比,因此直接与WSMS中的CA链接。此外,我们还表明,在半经典和超轻质方案中,CA诱导的非线性磁电导率分别是线性的,并且在磁场中是独立的。我们得出的结论是,不同政权中NPE的拟议行为唯一表示CA的存在,因此可以作为实验中WSM中识别CA的探针。
In view of searching the signature of the celebrated chiral anomaly (CA) in Weyl semimetals (WSMs) in ongoing experiments, quantum oscillation in linear response regime has been considered as an important signature in the magneto transports in WSMs, due to its unique relation to CA. Investigating the nonlinear planar effects (NPEs) starting from the semiclassical regime to the ultra-quantum limit within the framework of Boltzmann transport theory incorporating Landau quantization, we here propose the quantum oscillations in NPEs can serve as a robust signature of CA in WSMs. By obtaining analytical expressions, we show that the quantum oscillations of the nonlinear effects exhibit two different period scales in 1/B (B is the magnetic field) compared to the linear responses where only one period scale exists. We find that these quantum oscillations in NPEs are attributed to the deviation of chiral chemical potential (CCP), which is proportional to the finite band tilt as well as transverse electric field and therefore, directly linked to CA in WSMs. In addition, we also show that the CA-induced nonlinear magneto conductivity is linear and independent in the magnetic field in the semiclassical and ultraquantum regimes, respectively. We conclude that the proposed behaviors of NPEs in different regimes uniquely signify the existence of CA and therefore, can serve as a probe of identifying CA in WSMs in experiments.