arXivDaily arXiv每日学术速递 周一至周五更新
看起来今天可以划水了
arXiv 1609.05040hep-th
收藏

共形不变幂-Maxwell电动力学全息超导体的上临界磁场

The upper critical magnetic field of holographic superconductor with conformally invariant power-Maxwell electrodynamics

A. Sheykhi, F. Shamsi, S. Davatolhagh

摘要:

研究了在幂麦克斯韦场作用下$(d-1)$维$s$波全息超导体的性质。我们研究了标量场和规范场不对背景几何产生反作用的探测极限。我们的研究是基于匹配的解决方案的边界和地平线上的一些中间点。首先考虑了无外磁场的情况,并根据电荷密度、维数和幂-麦克斯韦指数得到了临界温度。然后,在$d$维块体中开启磁场,其可以在边界处影响$(d-1)$维全息超导体。相应的全息超导体的相位行为是通过计算的上临界磁场的存在下,功率麦克斯韦电动力学,其特征在于由幂指数$q$。有趣的是,观察到在存在磁场的情况下,对于$q={d}/{4}$,获得了物理上可接受的全息超导体的相行为,这保证了幂麦克斯韦拉格朗日函数的共形不变性。在五个时空维度($d=5$,和$q=5/4$)的物理利益的情况下,被认为是详细的,并与通常的麦克斯韦电动力学$q=1$在相同的尺寸得到的结果进行比较。

英文摘要:

The properties of $(d-1)$-dimensional $s$-wave holographic superconductor in the presence of power-Maxwell field is explored. We study the probe limit in which the scalar and gauge fields do not backreact on the background geometry. Our study is based on the matching of solutions on the boundary and on the horizon at some intermediate point. At first, the case without external magnetic field is considered, and the critical temperature is obtained in terms of the charge density, the dimensionality, and the power-Maxwell exponent. Then, a magnetic field is turned on in the $d$-dimensional bulk which can influence the $(d-1)$-dimensional holographic superconductor at the boundary. The phase behavior of the corresponding holographic superconductor is obtained by computing the upper critical magnetic field in the presence of power-Maxwell electrodynamics, characterized by the power exponent $q$. Interestingly, it is observed that in the presence of magnetic field, the physically acceptable phase behavior of the holographic superconductor is obtained for $q={d}/{4}$, which guaranties the conformal invariance of the power-Maxwell Lagrangian. The case of physical interest in five spacetime dimensions ($d=5$, and $q=5/4$) is considered in detail, and compared with the results obtained for the usual Maxwell electrodynamics $q=1$ in the same dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑