arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1202.5146gr-qc
收藏

高维AdS孤子中的全息超导体

The holographic superconductors in higher-dimensional AdS soliton

Chong Oh Lee

摘要:

通过解析方法研究了高维AdS孤子时空中荷电标量场与麦克斯韦场耦合的全息超导体在零温下的行为。在探针极限下,我们得到了临界化学势随总维数$d$的增加而线性增加。我们发现凝聚算符的临界指数与$d$无关,为1/2,在临界点附近电荷密度与化学势成线性关系.进一步,我们考虑了一个稍微推广的Einstein-Power-Maxwell场论,发现凝聚算符的临界指数为$1/(4-2n)$,它与Power-Maxwell场的功率参数$n$有关,并且电荷密度与化学势的$1/(2-n)$的功率成正比.

英文摘要:

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical chemical potentials increase linearly as a total dimension $d$ grows up. We find that the critical exponent for condensation operator is obtained as 1/2 independently of $d$, and the charge density is linearly related to the chemical potential near the critical point. Furthermore, we consider a slightly generalized setup the Einstein-Power-Maxwell field theory, and find that the critical exponent for condensation operator is given as $1/(4-2n)$ in terms of a power parameter $n$ of the Power-Maxwell field, and the charge density is proportional to the chemical potential to the power of $1/(2-n)$.

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。

↑