Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model

Abstract

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana fermions). In the large-$N$ limit a conformal symmetry emerges that renders the model exactly soluble. Here we study how the non-Fermi liquid behavior of the closed system in equilibrium manifests itself in an open system out of equilibrium. We calculate the current-voltage characteristic of a quantum dot, described by the complex-valued SYK model, coupled to a voltage source via a single-channel metallic lead (coupling strength $\Gamma$). A one-parameter scaling law appears in the large-$N$ conformal regime, where the differential conductance $G=dI/dV$ depends on the applied voltage only through the dimensionless combination $\xi =eVJ/{\Gamma }^2$. Low and high voltages are related by the duality $G(\xi )=G(\pi /\xi )$. This provides for an unambiguous signature of the conformal symmetry in tunneling spectroscopy.

arXiv comment5 pages, 2 figures. Accepted for publication in Physical Review B: Rapid Communications

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• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Lindbladian dissipation of strongly-correlated quantum matter
• SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• 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
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• One SYK SET
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Conductance and thermopower fluctuations in interacting quantum dots
• SYK does not Transit Gloria Mundi just yet
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• High-frequency transport and zero-sound in an array of SYK quantum dots
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
• Josephson current through the SYK model
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires