Building a holographic superconductor with higher-derivative couplings

Building a holographic superconductor with higher-derivative couplings
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DOI:
10.1103/physrevd.88.086008
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发表时间:
2013-03
期刊:
影响因子:
5
通讯作者:
Xiao-Mei Kuang;E. Papantonopoulos;G. Siopsis;Bin Wang
Xiao-Mei Kuang;E. Papantonopoulos;G. Siopsis;Bin Wang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Xiao-Mei Kuang;E. Papantonopoulos;G. Siopsis;Bin Wang

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本文讨论了全息超导体的引力对偶,该超导体由一个U(1)$规范场,一个与带电AdS黑洞耦合的复标量场,以及U(1)$规范场与标量场之间的高阶导数耦合组成,耦合常数为$\ensuremath{\eta}$.在磁场的存在下,该系统具有本地化的空间依赖的液滴的解决方案,在低温限制,有较小的临界温度为$\ensuremath{\eta} g 0 $比液滴的解决方案没有相互作用项($\ensuremath{\eta}=0$)。在弱磁场极限下,观察到相反的行为:临界温度随着我们增加$\ensuremath{\eta}$而增加。我们还计算了探测极限下的能隙,发现在$\ensuremath{\eta}l0$下的能隙比传统情况下的能隙($\ensuremath{\eta}=0$)要大。
We discuss the gravitational dual of a holographic superconductor consisting of a $U(1)$ gauge field, a complex scalar field coupled to a charged AdS black hole and a higher-derivative coupling between the $U(1)$ gauge field and the scalar with coupling constant $\ensuremath{\eta}$. In the presence of a magnetic field, the system possesses localized spatially dependent droplet solutions which, in the low temperature limit, have smaller critical temperature for $\ensuremath{\eta}g0$ than the droplet solutions without the interaction term ($\ensuremath{\eta}=0$). In the weak magnetic field limit, the opposite behavior is observed: the critical temperature increases as we increase $\ensuremath{\eta}$. We also calculate the energy gap in the probe limit and find that it is larger for $\ensuremath{\eta}l0$ than the energy gap in the conventional case ($\ensuremath{\eta}=0$).