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arXiv 1802.03697hep-th
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全息磁化率

Holographic Magnetic Susceptibility

Lei Yin, Hai-cang Ren, Defu Hou

备注：
2 figure, big changes from the first version
发表信息：
Phys. Rev. D 99, 026006 (2019)
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摘要：

利用Reissner-Nordström-AdS几何方法研究了强耦合下的（2+1）维静态磁化率.研究了坐标空间中复动量$\mathfrak{q}$平面上磁化率与类Friedel振荡的关系。与Fermi液体中穿过实动量轴的分支切割不同，我们证明了在零温极限下，全息磁化率仍然是绕实轴的复动量的解析函数。我们解析地定位了两对平行于大$|\text{Im}\ \mathfrak{q}|$的假想动量轴的分支切口，但随着端部而翘曲，远离实动量轴和虚动量轴的点我们的结论是，这些分支削减引起的指数衰减行为的Friedel样振荡的磁化率在坐标空间。我们还分别推导了大动量和小动量磁化率的解析表达式。

英文摘要：

The (2+1)-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordström-AdS geometry. The analyticity of the susceptibility on the complex momentum $\mathfrak{q}$-plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branch-cuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature, At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large $|\text{Im}\ \mathfrak{q}|$ but become warped with the end-points keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively.

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