Sachdev-Ye-Kitaev models and beyond: Window into non-Fermi liquids
| Autor: | Subir Sachdev, Antoine Georges, Debanjan Chowdhury, Olivier Parcollet |
|---|---|
| Přispěvatelé: | Collège de France (CdF (institution)), Centre de Physique Théorique [Palaiseau] (CPHT), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
electron Hubbard model metal FOS: Physical sciences General Physics and Astronomy Condensed Matter - Strongly Correlated Electrons quasiparticle: excited state Fermi liquid mean field approximation liquid Condensed Matter - Statistical Mechanics lattice Condensed Matter::Quantum Gases Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) Statistical Mechanics (cond-mat.stat-mech) condensed matter [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] atom spin: exchange Disordered Systems and Neural Networks (cond-mat.dis-nn) critical phenomena Condensed Matter - Disordered Systems and Neural Networks [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Sachdev-Ye-Kitaev High Energy Physics - Theory (hep-th) quantum gravity Fermi surface correlation many-body problem Condensed Matter::Strongly Correlated Electrons Coulomb four-fermion interaction renormalization group Quantum Physics (quant-ph) |
| Zdroj: | Rev.Mod.Phys. Rev.Mod.Phys., 2022, 94 (3), pp.035004. ⟨10.1103/RevModPhys.94.035004⟩ |
| ISSN: | 1539-0756 0034-6861 |
| DOI: | 10.1103/revmodphys.94.035004 |
| Popis: | We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The review is placed in the context of numerous experimental observations on correlated electron materials. Strong correlations in metals are often associated with their proximity to a Mott transition to an insulator created by the local Coulomb repulsion between the electrons. We explore the phase diagrams of a number of models of such local electronic correlation, employing a dynamical mean field theory in the presence of random spin exchange interactions. Numerical analyses and analytical solutions, using renormalization group methods and expansions in large spin degeneracy, lead to critical regions which display SYK physics. The models studied include the single-band Hubbard model, the $t$-$J$ model and the two-band Kondo-Heisenberg model in the presence of random spin exchange interactions. We also examine non-Fermi liquids obtained by considering each SYK model with random four-fermion interactions to be a multi-orbital atom, with the SYK-atoms arranged in an infinite lattice. We connect to theories of sharp Fermi surfaces without any low-energy quasiparticles in the absence of spatial disorder, obtained by coupling a Fermi liquid to a gapless boson; a systematic large $N$ theory of such a critical Fermi surface, with SYK characteristics, is obtained by averaging over an ensemble of theories with random boson-fermion couplings. Finally, we present an overview of the links between the SYK model and quantum gravity and end with an outlook on open questions. 72 pages, 25 figures and lots of references. Comments are welcome; (v2) Added references |
| Databáze: | OpenAIRE |
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