论文标题
全息Abrikosov晶格
Holographic Abrikosov Lattices
论文作者
论文摘要
我们研究了$ d = 4 $ Einstein-Maxwell理论的黑洞解决方案，该理论与带电的标量场结合，在$ d = 3 $保形场理论上是具有非呈现化学势和恒定磁场的。我们在数值上构建了黑洞溶液，这些溶液是与涡流周期性晶格的超氟相关的双重溶液。对于我们研究的特定模型，我们发现热力学优选的构型由三角形晶格给出，此外，涡旋与最低的Landau水平相关。我们还构建了黑洞，描述了与次最低兰道水平相关的涡旋晶格，尽管这些涡流并不是热力学上首选的，但它们表现出一些有趣的特征，这些功能可以实现其他全息模型。
We study black hole solutions of $D=4$ Einstein-Maxwell theory coupled to a charged scalar field that are holographically dual to a $d=3$ conformal field theory with a non-vanishing chemical potential and constant magnetic field. We numerically construct black hole solutions that are dual to a superfluid phase with a periodic lattice of vortices. For the specific model we investigate, we find that the thermodynamically preferred configuration is given by a triangular lattice and moreover the vortices are associated with the lowest Landau level. We also construct black holes describing a lattice of vortices associated with the next to lowest Landau level and while theses are not thermodynamically preferred they exhibit some interesting features that could be realised for other holographic models.
