Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal

Abstract

Abstract We study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1 + 1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half-filling. We compute the Green's function at the saddle point using a combination of analytical and numerical methods. Employing a scaling symmetry of the Schwinger-Dyson equations that becomes transparent in the strongly dispersive limit, we show that the exact solution of the problem yields a distinct type of non-Fermi liquid with sublinear $\rho \propto T^{2/5}$ temperature dependence of the resistivity. A scaling analysis indicates that this state corresponds to the fixed point of the dispersive SYK model for a quadratic band touching semimetal.

References in corpus (21)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Black holes and the butterfly effect
• Bekenstein-Hawking Entropy and Strange Metals
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Diving into traversable wormholes
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• An introduction to the SYK model
• Theory of a Planckian metal
• Anomalous density fluctuations in a strange metal
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Magnetotransport in a model of a disordered strange metal
• Dispersive SYK model: band structure and quantum chaos
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• Crossover of Charge Fluctuations across the Strange Metal Phase Diagram
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Flat band and Planckian metal

Cited by in corpus (5)

• Collective density fluctuations of strange metals with critical Fermi surfaces
• SYK does not Transit Gloria Mundi just yet
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• The chiral SYK model in three-dimensional holography
• Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape