A simple model for strange metallic behaviour

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A simple model for strange metallic behavior


Sutapa Samanta, Hareram Swain, Benoît Douçot, Giuseppe Policastro, Ayan Mukhopadhyay


A refined semi-holographic non-Fermi liquid model, in which carrier electrons hybridize with operators of a holographic critical sector, has been proposed recently for strange metallic behavior. The model, consistently with effective theory approach, has two couplings whose ratio is related to the doping. We explain the origin of the linear-in-T resistivity and strange metallic behavior as a consequence of the emergence of a universal form of the spectral function which is independent of the model parameters when the ratio of the two couplings take optimal values determined only by the critical exponent. This universal form fits well with photoemission data of copper oxide samples for under/optimal/over-doping with a fixed exponent over a wide range of temperatures. We further obtain a refined Planckian dissipation scenario in which the scattering time $\tau = f \cdot \hbar /(k_B T)$, with $f$ being $\mathcal{O}(1)$ at strong coupling, but $\mathcal{O}(10)$ at weak coupling.

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It's a very interesting idea, but I wonder what the term semi-holographic means? I am not sure where holography or semiholograpy plays a role - it was not clear from the presentation and the paper. If you could explain it, it would be appreciated. 


Thanks! The holographic sector gives a precise temperature-dependent non-Fermi liquid contribution to the self-energy. The temperature dependence cannot be obtained from the scaling symmetry alone — here the AdS2 black hole with a finite temperature is necessary. This temperature dependence in self-energy is crucial for our results. Semi-holography refers to a construction where the holographic bulk geometry has dynamical degrees of freedom (instead of specified sources) at the boundary so that the full system should be solved together. Our construction is therefore semi-holographic.

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