Abstract
We initiate a holographic model building approach to `strange metallic' phenomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by D-branes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the non-Fermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group ow in Lifshitz theories, such as the appearance of relevant charge-charge interactions when z ≥ 2. We outline a program to extend this model building approach to other anomalous observables of interest such as the Hall conductivity.
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ArXiv ePrint: 0912.1061
On leave from SLAC and Department of Physics, Stanford University, Stanford, CA 94305, U.S.A.
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Hartnoll, S.A., Polchinski, J., Silverstein, E. et al. Towards strange metallic holography. J. High Energ. Phys. 2010, 120 (2010). https://doi.org/10.1007/JHEP04(2010)120
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DOI: https://doi.org/10.1007/JHEP04(2010)120