arXiv 0904.45672009-04hep-th

全息超导体中密度驱动的对称性破缺和蝴蝶效应

Density driven symmetry breaking and Butterfly effect in holographic superconductors

Youngman Kim, Yumi Ko, Sang-Jin Sin

备注：: 16 pages, v2: title changed, abstract and discussion updated, typos corrected, references added, to appear in PRD
发表信息：: Phys.Rev.D80:126017,2009
DOI：: 10.1103/PhysRevD.80.126017

摘要：

在正质量平方情形下，研究了全息超导体中密度驱动的对称性破缺。我们表明，即使是积极的$m^2$，标量凝聚仍然形成，提供的化学势是足够高的。随着$m^2$的增加，由于运动方程的非线性，相空间折叠，并且相空间中的两个邻近点可以分别表示对称性破缺和保持构型。由视界上场变量的初始条件定义的相空间经历非线性径向演化，导致相空间折叠，这是非线性系统中的特征现象。然后，我们计算了比热，这是超导体的特征，并已在实验中测量。我们观察到在转变点的比热的不连续性，并将我们的结果与实验观察到的数字进行比较。还计算了各种$m^2$的电导率。

英文摘要：

We study the density driven symmetry breaking in holographic superconductors by considering the positive mass squared case. We show that even for the positive $m^2$, a scalar condensation still forms, provided the chemical potential is high enough. As $m^2$ increases, the phase space folds due to the non-linearity of the equations of motion, and two nearby points in the phase space can represent symmetry breaking and preserving configurations respectively. The phase space defined by the set of initial conditions of field variables at the horizon undergoes a non-linear radial evolution to result in the phase space folding, a characteristic phenomenon in a non-linear system. We then calculate the specific heat, which characterizes superconductors and has been measured in experiments.We observe a discontinuity in the specific heat at the transition point and compare our results with experimentally observed numbers. The electrical conductivity for various $m^2$ is also calculated.

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英文摘要：

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