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Holographic magnetic susceptibility

机译：全息磁化率

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The ( 2 + 1 )-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordstr?m-AdS geometry. The analyticity of the susceptibility on the complex momentum 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 | Im ? q | but become warped with the endpoints 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.
机译：通过Reissner-Nordstr？m-AdS几何形状研究了强耦合中的（2 +1）维静态磁化率。探索了复动量q平面上的磁化率与坐标空间中的Friedel样振荡有关的解析性。与跨越费米液体的真实动量轴的分支相反，我们证明了全息磁化率仍是零温度范围内真实轴周围复动量的解析函数。在零温度下，我们分析性地确定了两对平行于大的|| | | | | | | | | | | | | | | | | | | | | |的假想动轴。我呢？ q |但是随着端点远离真实和虚构的动量轴而变得扭曲。我们得出的结论是，这些分支切割在坐标空间中引起了磁化率的Friedel样振荡的指数衰减行为。我们还分别得出了大动量和小动量的磁化率的分析形式。

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