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High Energy Physics - Theory
Title: Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
(Submitted on 31 Dec 2020 (v1), last revised 29 Sep 2021 (this version, v3))
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 $\nu$ of the fermionic operator in the holographic sector, the effective theory has two {dimensionless} couplings $\alpha$ and $\gamma$ 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 $\nu$ approaches unity in which limit we obtain a marginal Fermi liquid with a specific temperature dependence of the self-energy.
Submission history
From: Sutapa Samanta [view email][v1] Thu, 31 Dec 2020 16:01:45 GMT (289kb,D)
[v2] Mon, 5 Apr 2021 11:48:51 GMT (1491kb,D)
[v3] Wed, 29 Sep 2021 05:49:30 GMT (1492kb,D)
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