Zero temperature limit of holographic superconductors
Zero temperature limit of holographic superconductors
复制标题
DOI：
10.1088/1126-6708/2009/11/015
复制
发表时间：
2009-08
影响因子：
5.4
通讯作者：
G. Horowitz;M. Roberts
中科院分区：
文献类型：
--
作者：
G. Horowitz;M. Roberts
我们考虑全息超导体，其整体描述由引力最小地耦合到麦克斯韦尔场和具有一般势的带电标量场组成。我们给出了一个分析论证，即不存在“硬间隙”：即使在零温度下，低频电导率的实部也保持非零(尽管通常是指数小的)。我们还数值构造了一些全息超导体的基态的引力对偶。根据凝聚体的电荷和尺寸的不同，红外理论可以有突现的共形对称性，也可以只有庞加莱对称性。在所研究的所有情况下，双黑洞的视界面积在极值极限处为零，这与非简并基态是一致的。
We consider holographic superconductors whose bulk description consists of gravity minimally coupled to a Maxwell field and charged scalar field with general potential. We give an analytic argument that there is no ``hard gap'': the real part of the conductivity at low frequency remains nonzero (although typically exponentially small) even at zero temperature. We also numerically construct the gravitational dual of the ground state of some holographic superconductors. Depending on the charge and dimension of the condensate, the infrared theory can have emergent conformal or just Poincare symmetry. In all cases studied, the area of the horizon of the dual black hole goes to zero in the extremal limit, consistent with a nondegenerate ground state.