Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models

Abstract

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi liquid state of such a quantum dot coupled to non-interacting leads. The properties of this setup depend essentially on the ratio $p$ between the number of transverse modes in the lead $M$ and the number of the fermion degrees of freedom $N$ on the SYK dot. This ratio can be tuned via the magnetic field applied to the dot. Our proposed setup gives access to the non-trivial conformal-invariant regime associated with the SYK model as well as a more conventional Fermi-liquid regime via tuning the field. The dimensionless linear response conductance acquires distinct $\sqrt{p}$ and $1/\sqrt{p}$ dependencies for the two phases respectively in the low-temperature limit, with a universal jump at the transition. We find that corrections scale linearly and quadratically in either temperature or frequency on the two sides of the transition. In the weak tunneling regime we find differential conductance proportional to the inverse square root of the applied voltage bias $U$. This dependence is replaced by a conventional Ohmic behavior with constant conductance proportional to $1/\sqrt{T}$ for bias energy $eU$ smaller than temperature scale $k_{B}T$. We also describe the out-of-equilibrium current-bias characteristics and discuss various crossovers between the limiting behaviors mentioned above.

arXiv comment11 pages, 13 figures plus appendices

References in corpus (29)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Chaos in quantum channels
• The Spectrum in the Sachdev-Ye-Kitaev Model
• The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
• Bekenstein-Hawking Entropy and Strange Metals
• Holographic metals and the fractionalized Fermi liquid
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Observation of the two-channel Kondo effect
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Non-Fermi liquid regime of a doped Mott insulator
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Higher Dimensional Generalizations of the SYK Model
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• Non-equilibrium dynamics of the Anderson impurity model
• Quantum holography in a graphene flake with an irregular boundary
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
• Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
• Quantum Entanglement of the Sachdev-Ye-Kitaev Models
• Nonlinear Conductance for the Two Channel Anderson Model
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• The 2-Channel Kondo Model II: CFT Calculation of Non-Equilibrium Conductance through a Nanoconstriction containing 2-Channel Kondo Impurities
• Mimicking black hole event horizons in atomic and solid-state systems

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• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Universal Constraints on Energy Flow and SYK Thermalization
• Quenched vs Annealed: Glassiness from SK to SYK
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Tunneling through an Eternal Traversable Wormhole
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• One SYK SET
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Conductance and thermopower fluctuations in interacting quantum dots
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• SYK does not Transit Gloria Mundi just yet
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Josephson current through the SYK model