论文标题

全息超导体中的流动方程和费米差距

Flow Equation and Fermion Gap in the Holographic Superconductors

论文作者

Yuk, Taewon, Sin, Sang-Jin

论文摘要

我们在库珀对凝结的存在下重新考虑了费米光谱函数,并确定了复杂标量和费米昂的相互作用类型,这首先与预期的S波超导体产生了一致的结果。我们得出了矩阵riccati方程,该方程允许精确计算费米子光谱函数。除了间隙结构外,我们研究了化学电位和密度的效果,并将其与BCS理论进行了比较。我们发现,在高密度情况下,两种理论在化学势方面产生了相似的结果,但我们归因于相关效应。

We reconsider the fermion spectral function in the presence of the Cooper pair condensation and identified the interaction type of complex scalar and fermion, which gives consistent results with the expected s-wave superconductor for the first time. We derive the matrix Riccati equation, which allows the precise calculation of the fermion spectral function. Apart from the gap structure, we studied the effect of the chemical potential and the density and compared it with the BCS theory. We found that two theories give similar results in small chemical potential but very different ones in the high-density case, which we attribute to the correlation effect.

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