Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model

Abstract

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The Sachdev-Ye-Kitaev model provides a solvable theory of entangled many-particle quantum states without quasiparticle excitations. This article reviews how this toy model has led to realistic universal models of strange metals, and to new insights on the quantum states of black holes.

31 pages, 11 figures; Some of the introductory discussion in this article overlaps with the review in arXiv:2205.02285; companion article on black holes is arXiv:2304.13744

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Cited by in corpus (8)

• Localization of overdamped bosonic modes and transport in strange metals
• Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
• Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
• Fractionalized Fermi liquids and the cuprate phase diagram
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Josephson current through the SYK model
• Thermal decoupling in high-$T_c$ cuprate superconductors