The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions inside normal and superconducting phases with backreactions. By making the UV and IR limits applied to the integrals, an approximate expression for HEE is obtained. In case the software cannot calculate minimal surface integrals analytically, it offers the possibility to proceed with a numerical evaluation of the corresponding terms. We'll understand how the area formula incorporates the structure of the domain wall approximation. We see that HEE changes linearly with belt angle. It's due to the extensivity of this type of entropy and the emergent of an entropic force. We find that the wider belt angle corresponds to a larger holographic surface. Another remarkable observation is that no “confinement/deconfinement” phase transition point exists in our 2D dual field theory. Furthermore, we observe that the slope of the HEE with respect to the temperature d S d T decreases, thanks to the emergence extra degree of freedom(s) in low temperature system. A first order phase transition is detected near the critical point.
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机译：本信的目的是找到二维全息超导体（HSC）中的全息纠缠熵（HEE）。的确，由于正反应和超导相中具有反向反应的近似解的优点，有可能计算出该熵的精确形式。通过将UV和IR限制应用于积分，可以获得HEE的近似表达式。如果该软件无法解析地计算最小表面积分，则可以对相应项进行数值评估。我们将了解面积公式如何结合畴壁近似的结构。我们看到，HEE随皮带角度线性变化。这是由于这种熵的扩展性和熵力的出现。我们发现，较宽的皮带角度对应于较大的全息表面。另一个引人注目的观察结果是在我们的二维双场理论中不存在“限制/解除限制”相变点。此外，我们观察到，由于低温系统中出现了额外的自由度，HEE相对于温度d S d T的斜率减小了。在临界点附近检测到一阶相变。
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