论文标题
全息$ s $ - 带有保形异常校正的超导体
Holographic $s$-wave superconductors with conformal anomaly correction
论文作者
论文摘要
我们构建了全息$ s $ S $波导指导器/超导体模型，并在四维的共形异常校正〜（CAC）ADS重力中建立了绝缘体/超导体模型。使用探针近似中的数值和分析方法研究了CAC参数$α$的效果。具体而言，当CAC参数增加时，导体/超导相变的临界温度会升高，而绝缘子/超导体情况的临界化学电位会降低，这表明增加的CAC参数会增强两种超导相位转移。同时，低于临界温度或超出临界化学电位的范围，标量的头发开始凝结，并且发现凝结的相在热力学上是稳定的。我们的分析分析证实了从数字获得的关键行为。对于我们正在考虑的参数，导体/超导体模型中的能隙通过增加CAC参数而单调地减少，而对于绝缘体/超导体模型，准粒子激发的能量随CAC参数而降低。
We build a holographic $s$-wave conductor/superconductor model and an insulator/superconductor model in the four-dimensional conformal anomaly corrected~(CAC) AdS gravity. The effects of CAC parameter $α$ are studied using both numerical and analytical methods in the probe approximation. Concretely, when the CAC parameter increases, the critical temperature increases for the conductor/superconductor phase transition, while the critical chemical potential decreases for the insulator/superconductor case, which suggests that the increasing CAC parameter enhances both superconducting phase transitions. Meanwhile, below the critical temperature or beyond the critical chemical potential, the scalar hair begins to condense, and the condensed phases are found to be thermodynamically stable. The critical behaviors obtained from numerics are confirmed by our analytical analysis. For the parameters we are considering, the energy gap in the conductor/superconductor model decreases monotonically by increasing the CAC parameter, while for the insulator/superconductor model the energy of quasiparticle excitations decreases with the CAC parameter.
