论文标题
在有限拓扑电荷的全息相变
On the holographic phase transitions at finite topological charge
论文作者
论文摘要
探索拓扑电荷对全息相变和电导率的显着影响，我们从爱因斯坦 - 麦克斯韦系统开始，并在抗de Sitter SpaceTime中与带电的标量场相结合。在我们的设置中，选择相应的黑洞（BH）是拓扑广告，其中压力用宇宙常数识别。我们的数值计算表明，在有限的拓扑电荷下，凝结过程受到偏爱，尤其是，大量的压力变化会产生一种机制，可以改变边界中的相变顺序：二阶相变的压力是在高于小型BH的临界压力的高压下发生的，而它们在低压下成为较低压力的第一阶。该特性在全息自由能的帮助下得到确认。最后，当相变为二阶时，频率依赖性电导率表现出差距，并且当相变为第一阶时，此间隙要么降低或完全丢失。
Exploring the significant impacts of topological charge on the holographic phase transitions and conductivity we start from an Einstein - Maxwell system coupled with a charged scalar field in Anti - de Sitter spacetime. In our set up, the corresponding black hole (BH) is chosen to be the topological AdS one where the pressure is identified with the cosmological constant. Our numerical computation shows that the process of condensation is favored at finite topological charge and, in particular, the pressure variation in the bulk generates a mechanism for changing the order of phase transitions in the boundary: the second order phase transitions occur at pressures higher than the critical pressure of the phase transition from small to large BHs while they become first order at lower pressures. This property is confirmed with the aid of holographic free energy. Finally, the frequency dependent conductivity exhibits a gap when the phase transition is second order and when the phase transition becomes first order this gap is either reduced or totally lost.
