Lifshitz引力中的全息p波超导体

Holographic p-wave Superconductor in Lifshitz Gravity

在探子极限下,通过数值方法研究了Lifshitz参数z对超导体相变的影响。具体来说,把带质量的麦克斯韦复矢量场耦合到4维Lifshitz黑洞中构造了p波超导体。发现时空各向异性程度的增加抑制导体/超导体相变和电导率。在临界温度附近,系统经历二阶相变,与平均场论结果一致。在一定程度上,此复矢量场模型是SU(2)Yang-Mills模型带一般质量的推广。

This paper,with the numerical method,studies the effects of the Lifshitz dynamical parameter z on the superconductor in the probe limit. Concretely,a holographic p- wave superconductor is constructed when Maxwell complex vector field with a mass is coupled into the four- dimensional Lifshitz black hole. The results show that the increasing z makes the conductor or superconductor phase transition more difficult and suppresses the conductivity. Moreover,near the critical point of temperature,the system undergoes a second- order transition as expected from the mean field theory. To some extent,the Maxwell complex vector model is still a generalization of the SU（ 2） Yang- Mills model with a mass.