论文标题
磁场对较高尺寸高斯重力的全息绝缘体/超导相变的影响
Effect of magnetic field on holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity
论文作者
论文摘要
在本文中，我们在数值和分析上研究了磁场的影响，对较高维高斯 - 骨网络中全息绝缘体/超导相变的影响。首先，我们使用两种不同的数值方法，即准模式方法和射击方法分析了磁场的关键现象。然后，我们使用ST $ \ ddot {u} $ rm-liouville eigenvalue方法进行了分析进行计算。该方法表明，在化学电位的临界值和满足关系$λ^2 \equivμ^2-b $的磁场的临界值和磁场上出现了边缘稳定的模式。我们观察到，对于固定的标量场的固定质量，$λ$的化学势值和$λ$的值增加。这清楚地表明，在磁场的存在下，从绝缘体到超导体的相变很难，因为高斯 - 骨网参数的较高值和时空的尺寸。我们的分析结果与我们的数值结果非常吻合。
In this paper, we have investigated the effect of magnetic field numerically as well as analytically for holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity. First we have analysed the critical phenomena with magnetic field using two different numerical methods, namely, quasinormal modes method and the shooting method. Then we have carried out our calculation analytically using the St$\ddot{u}$rm-Liouville eigenvalue method. The methods show that marginally stable modes emerge at critical values of the chemical potential and the magnetic field satisfying the relation $Λ^2\equivμ^2-B$. We observe that the value of the chemical potential and hence the value of $Λ$ increases with higher values of the Gauss-Bonnet parameter and dimension of spacetime for a fixed mass of the scalar field. This clearly indicates that the phase transition from insulator to superconductor becomes difficult in the presence of the magnetic field for higher values of the Gauss-Bonnet parameter and dimension of spacetime. Our analytic results are in very good agreement with our numerical results.
