Linear-in-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math> resistivity from semiholographic non-Fermi liquid models
Benoît Douçot, Ayan Mukhopadhyay, Giuseppe Policastro, Sutapa Samanta
Abstract
We construct a semiholographic effective theory in which the electron of a two-dimensional band hybridizes with a fermionic operator of a critical holographic sector, while also interacting with other bands that preserve quasiparticle characteristics. Besides the scaling dimension $\ensuremath{\nu}$ of the fermionic operator in the holographic sector, the effective theory has two dimensionless couplings $\ensuremath{\alpha}$ and $\ensuremath{\gamma}$ determining the holographic and Fermi-liquid-type contributions to the self-energy respectively. We find that irrespective of the choice of the holographic critical sector, there exists a ratio of the effective couplings for which we obtain linear-in-$T$ resistivity for a wide range of temperatures. This scaling persists to arbitrarily low temperatures when $\ensuremath{\nu}$ approaches unity in which limit we obtain a marginal Fermi liquid with a specific temperature dependence of the self-energy.