Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model

Abstract

The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It has a Fermi surface coupled to a scalar field by spatially random Yukawa interactions. We present full numerical solutions of a self-consistent disorder averaged analysis of the 2d-YSYK model in both the normal and superconducting states, obtaining electronic spectral functions, frequency-dependent conductivity, and superfluid stiffness. Our results reproduce key aspects of observations in the cuprates as analyzed by Michon et al. (arXiv:2205.04030). We also find a regime of increasing zero temperature superfluid stiffness with decreasing superconducting critical temperature, as is observed in bulk cuprates.

9+15 pages, 6+11 figures; references added

References in corpus (25)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• More on Supersymmetric and 2d Analogs of the SYK Model
• Planckian Dissipation in Metals
• Universal theory of strange metals from spatially random interactions
• Large $N$ theory of critical Fermi surfaces
• Effects of dissipation on a quantum critical point with disorder
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Eliashberg equations for an electron-phonon version of the Sachdev-Ye-Kitaev model: Pair Breaking in non-Fermi liquid superconductors
• Quantum Phase Transition in the Yukawa-SYK Model
• Loop current fluctuations and quantum critical transport
• Localization of overdamped bosonic modes and transport in strange metals
• Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
• Tunable non-Fermi liquid phase from coupling to two-level systems
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Superuid density in overdoped cuprates: thin films versus bulk samples
• Cyclotron resonance and quantum oscillations of critical Fermi surfaces
• Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
• Optical conductivity of a metal near an Ising-nematic quantum critical point
• Planckian properties of 2D semiconductor systems
• Fermi Surface Geometry and Optical Conductivity of a 2D Electron Gas near an Ising-Nematic Quantum Critical Point
• Role of many phonon modes on the high-temperature linear-in-$T$ electronic resistivity

Cited by in corpus (22)

• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Extended strange metal regime from superconducting puddles
• Universal scaling relations in electron-phonon superconductors
• Correlation between unconventional superconductivity and strange metallicity revealed by operando superfluid density measurements
• Deep learning-based holography for T-linear resistivity
• Linear-T Resistivity from Spatially Random Vector Coupling
• Fractionalized Fermi liquids and the cuprate phase diagram
• Strong non-linear response of strange metals
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Theory of Linear Magnetoresistance in a Strange Metal
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Critical spin fluctuations across the superconducting dome in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?
• Upper bound on $T_c$ in a strongly coupled electron-boson superconductor
• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal