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Loyola University Maryland

Department of Physics

Holographic Model for a Quantum Critical Point

The phase diagram of the high Tc superconductor has been one of the central research subjects of the Condensed matter physics. If the superconducting dome is removed by a high magnetic field or chemical doping, one can measure various transport properties of the underlying high Tc materials. Often, those transport coefficients reveal universal temperature dependence in the so-called strange metallic region or Quantum Critical region.

High Tc cuprates Phase diagram with emphasis on the strange metallic region or Quantum critical region when the superconducting dome is removed by high magnetic field.

We use the holographic methods to compute various physical properties of Schroedinger backgrounds. We compare their universal temperature dependences of magneto-transports in optimal and over doped phases of high Tc cuprates, like resistivity, inverse Hall angle and Hall coefficients, to the experimental data to show that they are in good agreements. Here we present series of slides that contain the plots of these quantities. 

High Tc cuprates phase diagram 20 years later    experimental plots for Linear Temperature resistivity in the quantum critical region Holographic theory produce similar results for linear temperature dependence for the resistivity for the quantum critical region. Experimental Hall angle data for the quantum critical region. Hall angle data for experiments and our holographic model.  Hall Coefficient data for experiments and our holographic model. Magnetoresistance data for experiments and our holographic model. Resistivity data at low and high temperature quantum critical regions for experiments and our holographic model.

This is a promising starting point for understanding the full high Tc cuprates phase diagram from a completely different point of view compared to the conventional approcah. This has been done in collaboration with a high Tc experimentalist and a senior string theorist, and gave me experiences with an experimental lab and related literature.

B. S. Kim, E. Kiritsis and C. Panagopoulos, “Holographic quantum criticality and strange metal transport,” New J. Phys. 14:043045 (2012). [arXiv:1012.3464 [cond-mat.str-el]]

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