论文标题
一项关于全息超导体激发态的分析研究
An analytic study on the excited states of holographic superconductors
论文作者
论文摘要
基于Sturm-Liouville特征值问题，我们开发了一种通用分析技术来研究全息超导体的激发态。通过在试验功能的扩展中加入更多的高阶项，我们观察到分析结果与数字数据非常吻合，这表明Sturm-Liouville方法即使我们考虑激发态也可以研究全息超导体。对于全息S波和P波模型，我们发现激发态的临界温度低于相应的基态，并且连续状态之间无量纲的关键化学电位的差异约为5。此外，我们在分析上确认，全息超导相位的兴奋状态属于第二阶属于第二阶，并且可以将其用于数值，并且可以延续到几个数字上。
Based on the Sturm-Liouville eigenvalue problem, we develop a general analytic technique to investigate the excited states of the holographic superconductors. By including more higher order terms in the expansion of the trial function, we observe that the analytic results agree well with the numeric data, which indicates that the Sturm-Liouville method is very powerful to study the holographic superconductors even if we consider the excited states. For both the holographic s-wave and p-wave models, we find that the excited state has a lower critical temperature than the corresponding ground state and the difference of the dimensionless critical chemical potential between the consecutive states is around 5. Moreover, we analytically confirm that the holographic superconductor phase transition with the excited states belongs to the second order, which can be used to back up the numerical findings for both s-wave and p-wave superconductors.
