论文标题
具有激发态的全息绝缘体/超导体相变
Holographic insulator/superconductor phase transitions with excited states
论文作者
论文摘要
我们通过使用数值和分析方法在ADS Soliton背景中使用激发态构建了全息绝缘体/超导相变的解决方案家族。有趣的观点是，改进的Sturm-Liouville方法不仅可以分析使用激发态来研究相变的特性，还可以在临界点附近进行凝结场的分布。我们观察到，无论全息模型的类型如何，激发态具有比相应的基态具有更高的关键化学电位，并且连续状态之间无量纲的无量化关键化学电位的差异约为2.4，这与ADS黑洞背景中金属/超导体相位的发现不同。此外，在临界点附近，我们发现系统的相变是二阶的，并且在S波和P波绝缘子/超导体模型中所有激发态的电荷密度和化学势之间存在线性关系。
We construct a family of solutions of the holographic insulator/superconductor phase transitions with the excited states in the AdS soliton background by using both the numerical and analytical methods. The interesting point is that the improved Sturm-Liouville method can not only analytically investigate the properties of the phase transition with the excited states, but also the distributions of the condensed fields in the vicinity of the critical point. We observe that, regardless of the type of the holographic model, the excited state has a higher critical chemical potential than the corresponding ground state, and the difference of the dimensionless critical chemical potential between the consecutive states is around 2.4, which is different from the finding of the metal/superconductor phase transition in the AdS black hole background. Furthermore, near the critical point, we find that the phase transition of the systems is of the second order and a linear relationship exists between the charge density and chemical potential for all the excited states in both s-wave and p-wave insulator/superconductor models.
