论文标题
在全息超导体激发态中自发转化对称性破裂
Spontaneously translational symmetry breaking in the excited states of holographic superconductor
论文作者
论文摘要
我们在[Phys。莱特牧师。 {\ bf 101}，031601（2008）]，并将物质字段的ansatz扩展到取决于空间维度，除了全息方向。尽管地面和激发态的均质解决方案，尤其是对于激发态，但仍然存在转化不变性破裂的解决方案。值得一提的是，没有定期来源分配给物质字段，因此转化对称性自发折断。我们研究了新溶液和激发态的冷凝水如何随温度变化而发展。此外，由于这种冷凝物将在一定温度下降低，并最终在足够低温下消失，因此我们还研究了该间隔和晶格长度之间的关系。此外，我们比较了非翻译不变解决方案和HHH模型中转化不变性的自由能，并发现以前情况的自由能较低。
We revisit HHH model in [Phys. Rev. Lett. {\bf 101}, 031601 (2008)] and extend the ansatz of matter fields to being of depending on a spatial dimension except the holographic direction. Despite homogeneous solutions of ground and excited states, especially for the excited states, there also exists solutions where the translational invariance is broken. It is worth mentioning that no periodic sources are assigned to the matter fields, so the translational symmetry is broken spontaneously. We investigate how the new solutions and the condensates of excited states develop with the change of temperature. Moreover, since this kind of condensate will decrease at certain temperature and eventually vanish at sufficiently low temperature, we also study the relation between this interval and length of lattice. Besides, we compare the free energies of non-translational invariant solutions and those of translational invariance in the HHH model, and find that the free energies of the former situations are lower.
