论文标题

$ ads $黑洞的不稳定性与格子

The instability of $AdS$ black holes with lattices

论文作者

Ling, Yi, Wu, Meng-He

论文摘要

带有晶格结构的抗DE保姆(ADS)黑洞在全息方法中的光导率研究中起着至关重要的作用。我们研究了这种黑洞的不稳定性,这可能导致电荷密度波的全息描述。在存在同质轴磁场的情况下,我们表明ADS-REISSNER-NORDSTRöm(ADS-RN)黑洞的不稳定性总是被抑制的。但是,在存在Q-晶格的情况下,我们发现不稳定的区域成为金属/绝缘体相变临界区域附近的最小区域。这种新型现象让人联想到量子相变期间全息纠缠熵的行为。

The Anti-de Sitter (AdS) black hole with lattice structure plays an essential role in the study of the optical conductivity in holographic approach. We investigate the instability of this sort of black holes which may lead to the holographic description of charge density waves. In the presence of homogeneous axion fields, we show that the instability of AdS-Reissner-Nordström(AdS-RN) black hole is always suppressed. However, in the presence of Q-lattices, we find that the unstable region becomes the smallest in the vicinity of the critical region for metal/insulator phase transition. This novel phenomenon is reminiscent of the behavior of the holographic entanglement entropy during quantum phase transition.

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