1205.3267 (M. J. Luo)

Dynamic Scaling of Holographic Spin Fluctuations    [PDF]

M. J. Luo

We present a holographic theory of strongly coupled critical spin fluctuations in quasi-2-dimension. We show that a universal frequency over temperature scaling law is a rather general property of the critical ac spin susceptibility at strongly coupled limit. Explicit results for the dynamic scaling of spin susceptibility are obtained in large-N and large 't Hooft limit, the scaling equals unity at low frequency hydrodynamic limit, and a fractional scaling 2/3 at high frequency relativistic limit. The dc spin susceptibility approaches a universal constant independent to temperature. We argue that such scaling behaviors are in good agreement with a number of experiments and crucial in understanding the anomalous behavior of non-Fermi liquids. The exotic properties of non-Fermi liquids can be viewed as the Fermi liquids coupling to a strongly coupled critical spin fluctuations.

View original: http://arxiv.org/abs/1205.3267