外尔半金属中的手征涡旋效应

Chiral vortical effect in Weyl semimetals

实验表明,外尔半金属中不仅存在手征反常,也存在引力反常。引力反常会导致手征涡旋效应。因此,在外尔半金属中研究手征涡旋效应是必要的。作为石墨烯的三维类似物,外尔半金属也有可能出现强耦合。基于此,通过规范/引力对偶的方法研究强耦合下外尔半金属中的手征涡旋效应。在只考虑引力反常引起的手征涡旋效应的情形下,得到如下结论:1)手征涡旋效应可以由引力反常引起,在具有手征费米子的外尔半金属中存在,且与耦合强度成正比;2)手征涡旋效应与温度平方成正比。

As the experiments indicate,not only the chiral anomaly but also the gravitational anomaly exist in Weyl semimetal.Gravitational anomaly induces the chiral vortical effect.Hence it is necessary to study the chiral vortical effect in Weyl semimetal.Furthermore,due to the analogy to the graphene,Weyl semimetal may also suffer strong coupling.Based on this,we study the chiral vortical conductivity in a strong coupling Weyl semimetal by AdS/CFT.Under the circumstance where only gravitational anomaly is considered,we obtain the conclusions as follows.1)Gravitational anomaly induces the chiral vortical effect,which exists in the Weyl semimetal equipped with the chiral fermions,and it is proportional to the coupling strength.2)Chiral vortical conductivity is proportional to square of temperature.