An effective framework for strange metallic transport

Abstract Semi-holography, originally proposed as a model for conducting lattice electrons coupled to a holographic critical sector, leads to an effective theory of non-Fermi liquids with only a few relevant interactions on the Fermi surface in the large N limit. A refined version of such theories ha...

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Main Authors: Benoît Douçot, Ayan Mukhopadhyay, Giuseppe Policastro, Sutapa Samanta, Hareram Swain
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP12(2024)118
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author Benoît Douçot
Ayan Mukhopadhyay
Giuseppe Policastro
Sutapa Samanta
Hareram Swain
author_facet Benoît Douçot
Ayan Mukhopadhyay
Giuseppe Policastro
Sutapa Samanta
Hareram Swain
author_sort Benoît Douçot
collection DOAJ
description Abstract Semi-holography, originally proposed as a model for conducting lattice electrons coupled to a holographic critical sector, leads to an effective theory of non-Fermi liquids with only a few relevant interactions on the Fermi surface in the large N limit. A refined version of such theories has only two effective couplings, which give holographic and Fermi-liquid-like contributions to the self-energy, respectively. We show that a low co-dimension sub-manifold exists in the space of refined semi-holographic theories in which strange metallic behavior is manifested and which can be obtained just by tuning the ratio of the two couplings. On this sub-manifold, the product of the spectral function and the temperature is approximately independent of the critical exponent, the Fermi energy, and the temperature at all frequencies and near the Fermi surface when expressed in terms of suitably scaled momentum and frequency variables. This quasi-universal behavior leads to linear-in-T dc resistivity and Planckian dissipation over a large range of temperatures, and we also obtain T −3 scaling of the Hall conductivity at higher temperatures. The quasi-universal spectral function also fits well with photoemission spectroscopic data without varying the critical exponent with the doping. Combining with the results for optical conductivity, we construct a generalized version of Drude phenomenology for strange-metallic behavior, which satisfies non-trivial consistency tests. Finally, we discuss a possible dynamical mechanism for the fine-tuning of the ratio of the two couplings necessary to realize the strange metallic behavior in a typical state.
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spelling doaj-art-9ddb288ff4144def99a238fc090286102025-01-05T12:06:03ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241215210.1007/JHEP12(2024)118An effective framework for strange metallic transportBenoît Douçot0Ayan Mukhopadhyay1Giuseppe Policastro2Sutapa Samanta3Hareram Swain4Laboratoire de Physique Théorique et Hautes Energies, Sorbonne Université and CNRS UMR 7589Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Universidad 330Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de ParisDepartment of Physics and Astronomy, Western Washington UniversityDepartment of Physics, Indian Institute of Technology MadrasAbstract Semi-holography, originally proposed as a model for conducting lattice electrons coupled to a holographic critical sector, leads to an effective theory of non-Fermi liquids with only a few relevant interactions on the Fermi surface in the large N limit. A refined version of such theories has only two effective couplings, which give holographic and Fermi-liquid-like contributions to the self-energy, respectively. We show that a low co-dimension sub-manifold exists in the space of refined semi-holographic theories in which strange metallic behavior is manifested and which can be obtained just by tuning the ratio of the two couplings. On this sub-manifold, the product of the spectral function and the temperature is approximately independent of the critical exponent, the Fermi energy, and the temperature at all frequencies and near the Fermi surface when expressed in terms of suitably scaled momentum and frequency variables. This quasi-universal behavior leads to linear-in-T dc resistivity and Planckian dissipation over a large range of temperatures, and we also obtain T −3 scaling of the Hall conductivity at higher temperatures. The quasi-universal spectral function also fits well with photoemission spectroscopic data without varying the critical exponent with the doping. Combining with the results for optical conductivity, we construct a generalized version of Drude phenomenology for strange-metallic behavior, which satisfies non-trivial consistency tests. Finally, we discuss a possible dynamical mechanism for the fine-tuning of the ratio of the two couplings necessary to realize the strange metallic behavior in a typical state.https://doi.org/10.1007/JHEP12(2024)118Holography and Condensed Matter Physics (AdS/CMT)Effective Field Theories
spellingShingle Benoît Douçot
Ayan Mukhopadhyay
Giuseppe Policastro
Sutapa Samanta
Hareram Swain
An effective framework for strange metallic transport
Journal of High Energy Physics
Holography and Condensed Matter Physics (AdS/CMT)
Effective Field Theories
title An effective framework for strange metallic transport
title_full An effective framework for strange metallic transport
title_fullStr An effective framework for strange metallic transport
title_full_unstemmed An effective framework for strange metallic transport
title_short An effective framework for strange metallic transport
title_sort effective framework for strange metallic transport
topic Holography and Condensed Matter Physics (AdS/CMT)
Effective Field Theories
url https://doi.org/10.1007/JHEP12(2024)118
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