Holographic endpoint of spatially modulated phase transition
Holographic endpoint of spatially modulated phase transition
复制标题
DOI：
10.1103/physrevd.82.126001
复制
发表时间：
2010-07
影响因子：
5
通讯作者：
H. Ooguri;C. Park
中科院分区：
文献类型：
--
作者：
H. Ooguri;C. Park
在以前的论文[S。中村、H. Ooguri和C. S. Park，Phys.Rev.D81，044018（2010）]中，我们证明了当Chern-Simons耦合足够大时，耦合到具有Chern-Simons项的麦克斯韦理论的五维反de Sitter空间中的Reissner-Nordstrom黑洞是不稳定的。在对偶共形场论中，这种不稳定性暗示着空间调制相变。在本文中，我们构造和分析的非线性解决方案，描述这种相变的终点。在Chern-Simons耦合较大的极限下，我们发现相变是具有平均场临界指数的二阶相变。然而，色散关系与货车霍韦奇异性增强量子校正在散装，我们认为，这改变了相变的顺序从第二个到第一个。我们计算线性响应函数的非线性解决方案，并找到一个无限的非对角直流电导率在新的阶段。
In a previous paper [S. Nakamura, H. Ooguri, and C. S. Park, Phys. Rev. D 81, 044018 (2010)], we showed that the Reissner-Nordstrom black hole in the five-dimensional anti–de Sitter space coupled to the Maxwell theory with the Chern-Simons term is unstable when the Chern-Simons coupling is sufficiently large. In the dual conformal field theory, the instability suggests a spatially modulated phase transition. In this paper, we construct and analyze nonlinear solutions which describe the endpoint of this phase transition. In the limit where the Chern-Simons coupling is large, we find that the phase transition is of the second order with the mean field critical exponent. However, the dispersion relation with the Van Hove singularity enhances quantum corrections in the bulk, and we argue that this changes the order of the phase transition from the second to the first. We compute linear response functions in the nonlinear solution and find an infinite off-diagonal DC conductivity in the new phase.