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 $\mathrm{\ensuremath{\Gamma}}$). 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 $\ensuremath{\xi}=eVJ/{\mathrm{\ensuremath{\Gamma}}}^{2}$. Low and high voltages are related by the duality $G(\ensuremath{\xi})=G(\ensuremath{\pi}/\ensuremath{\xi})$. This provides for an unambiguous signature of the conformal symmetry in tunneling spectroscopy.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 $\mathrm{\ensuremath{\Gamma}}$). 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 $\ensuremath{\xi}=eVJ/{\mathrm{\ensuremath{\Gamma}}}^{2}$. Low and high voltages are related by the duality $G(\ensuremath{\xi})=G(\ensuremath{\pi}/\ensuremath{\xi})$. This provides for an unambiguous signature of the conformal symmetry in tunneling spectroscopy.

arXiv:1807.09099Physical review. B./Physical review. BAug 31, 201833 citations

Invitation to the Sachdev-Ye-Kitaev Paradigm

Rishabh Jha

Lecture notes in physicsJan 1, 20260 citations

Level Statistics of the Sachdev-Ye-Kitaev Model

Yi‐Zhuang You, Andreas W. W. Ludwig, Cenke Xu

Bulletin of the American Physical SocietyMar 13, 20170 citations

Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model

Mikael Fremling, Lars Fritz

In this work, we investigate whether the Kitaev honeycomb model can serve as a starting point to realize the intriguing physics of the Sachdev-Ye-Kitaev (SYK) model. The starting point is to strain the system, which leads to flat bands reminiscent of Landau levels, thereby quenching the kinetic energy. The presence of weak residual perturbations, such as Heisenberg interactions and the $\ensuremath{\gamma}$ term, creates effective interactions between the Majorana modes when projected into the flux-free sector. We assume the resulting interactions to be effectively random. This leads to a bipartite Sachdev-Ye-Kitaev model (b-SYK) with very similar properties as the SYK model. We also hypothesize under which conditions one would expect the standard SYK model in such a setup.In this work, we investigate whether the Kitaev honeycomb model can serve as a starting point to realize the intriguing physics of the Sachdev-Ye-Kitaev (SYK) model. The starting point is to strain the system, which leads to flat bands reminiscent of Landau levels, thereby quenching the kinetic energy. The presence of weak residual perturbations, such as Heisenberg interactions and the $\ensuremath{\gamma}$ term, creates effective interactions between the Majorana modes when projected into the flux-free sector. We assume the resulting interactions to be effectively random. This leads to a bipartite Sachdev-Ye-Kitaev model (b-SYK) with very similar properties as the SYK model. We also hypothesize under which conditions one would expect the standard SYK model in such a setup.

arXiv:2105.06119Physical review. B./Physical review. BFeb 25, 20226 citations

Large q expansion in the Sachdev-Ye-Kitaev model

Grigory Tarnopolsky

We consider the Sachdev-Ye-Kitaev (SYK) model, where interaction involves $q$ fermions at a time. We find the $1/{q}^{2}$ correction to the thermal two-point function in the large $q$ expansion. Using this result, we find the $1/{q}^{3}$ correction to the SYK free energy.We consider the Sachdev-Ye-Kitaev (SYK) model, where interaction involves $q$ fermions at a time. We find the $1/{q}^{2}$ correction to the thermal two-point function in the large $q$ expansion. Using this result, we find the $1/{q}^{3}$ correction to the SYK free energy.

arXiv:1801.06871Physical review. D/Physical review. D.Jan 15, 201933 citations

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 $\mathrm{\ensuremath{\Gamma}}$). 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 $\ensuremath{\xi}=eVJ/{\mathrm{\ensuremath{\Gamma}}}^{2}$. Low and high voltages are related by the duality $G(\ensuremath{\xi})=G(\ensuremath{\pi}/\ensuremath{\xi})$. This provides for an unambiguous signature of the conformal symmetry in tunneling spectroscopy.

We consider the Sachdev-Ye-Kitaev (SYK) model, where interaction involves

q

fermions at a time. We find the

1/{q}^{2}

correction to the thermal two-point function in the large

q

expansion. Using this result, we find the

1/{q}^{3}

correction to the SYK free energy.