Holographic superconductors near the Breitenlohner–Freedman bound
Holographic superconductors near the Breitenlohner–Freedman bound
复制标题
DOI：
10.1088/0264-9381/29/8/085007
复制
发表时间：
2010-11
影响因子：
3.5
通讯作者：
G. Siopsis;Jason Therrien;S. Musiri
中科院分区：
文献类型：
--
作者：
G. Siopsis;Jason Therrien;S. Musiri
我们讨论全息超导体在任意维的双黑洞有一个标量头发附近的Breitenlohner-Freedman约束的质量。我们集中在探测极限的低温上。我们分析表明，当边界是饱和的，冷凝发散在低温下，|ln T| δ，其中δ取决于维数。在早期的数值研究中忽略了这种轻微的分歧。我们计算的电导率分析，并表明，在低温下，所有的极点向真实的轴移动。我们得到越来越多的极点接近零的艾里函数在2+1维和伽玛函数在3+1维。我们的分析结果与数值结果吻合得很好，只要后者是可用的。
We discuss holographic superconductors in an arbitrary dimension whose dual black holes have a scalar hair of mass near the Breitenlohner–Freedman bound. We concentrate on low temperatures in the probe limit. We show analytically that when the bound is saturated, the condensate diverges at low temperatures as |ln T|δ, where δ depends on the dimension. This mild divergence was missed in earlier numerical studies. We calculate the conductivity analytically and show that at low temperatures, all poles move toward the real axis. We obtain an increasingly large number of poles which approach the zeroes of the Airy function in 2+1 dimensions and of the Gamma function in 3+1 dimensions. Our analytic results are in good agreement with numerical results whenever the latter are available.