1. Linear-in-<math><mi>T</mi></math> resistivity from semiholographic non-Fermi liquid models
- Author
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Giuseppe Policastro, Benoît Douçot, Sutapa Samanta, Ayan Mukhopadhyay, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Champs, Gravitation et Cordes, Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)
- Subjects
High Energy Physics - Theory ,electron ,FOS: Physical sciences ,Scaling dimension ,01 natural sciences ,Condensed Matter - Strongly Correlated Electrons ,Fermi liquid ,Electrical resistivity and conductivity ,0103 physical sciences ,Effective field theory ,temperature dependence ,dimension: 2 ,fermion: operator ,010306 general physics ,scaling: dimension ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Condensed matter physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,010308 nuclear & particles physics ,Operator (physics) ,quasiparticle ,temperature ,Propagator ,[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] ,High Energy Physics - Theory (hep-th) ,Quasiparticle ,holography ,propagator ,Fermi liquid theory ,liquid: model ,Dimensionless quantity - 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., Comment: Derivation of Green's function is included in the appendix. Minor revision in the main text
- Published
- 2021