Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid.

  title={Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid.},
  author={A. V. Lunkin and K. S. Tikhonov and Mikhail V. Feigel’man},
  journal={Physical review letters},
  volume={121 23},
We study stability of the Sachdev-Ye-Kitaev (SYK_{4}) model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. We develop analytic perturbation theory in the amplitude of the SYK_{2} perturbation and demonstrate stability of the SYK_{4} infrared asymptotic behavior characterized by a Green function G(τ)∝1/τ^{3/2}, with respect to weak perturbation. This result is supported by exact numerical diagonalization. Our results open the way to… Expand

Figures and Topics from this paper

Sachdev-Ye-Kitaev Non-Fermi-Liquid Correlations in Nanoscopic Quantum Transport.
Focusing on signatures in quantum transport, it is demonstrated the existence of anomalous power laws in the temperature dependent conductance, including algebraic scaling T3/2 in the inelastic cotunneling channel, separated from the conventional Fermi liquid T^{2} scaling via a quantum phase transition. Expand
On the replica structure of Sachdev-Ye-Kitaev model
Abstract We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamicExpand
Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter.
A zero-temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping is identified within the framework of Schwarzian field theory. Expand
Unveiling Operator Growth Using Spin Correlation Functions
It is argued that it is possible to distinguish between operator-hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Expand
Connecting the SYK Dots
We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev–Ye–Kitaev (SYK) quantum dots, each occupied by a large number N ≫ 1 of charge-carrying fermions.Expand
Pedagogical introduction to SYK model and 2D Dilaton Gravity
SYK model and 2D dilaton gravity have recently attracted considerable attention from the high energy and condensed matter physics community. The success of these models is due to their remarkableExpand
An SYK-inspired model with density–density interactions: Spectral & wave function statistics, Green’s function and phase diagram
The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable. Tractability arises because the model is largely structureless by design andExpand
One SYK single electron transistor
We study the behaviour of a single electron transistor (SET) represented by a dissipative tunnel junction between a pair of quantum dots described by two (possibly, different) Sachdev–Ye–Kitaev (SYK)Expand
Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation
We consider a non-equilibrium generalization of the mixed SYK4+SYK2 model and calculate the energy dissipation rate W (ω) that results due to periodic modulation of random quadratic matrix elementsExpand
Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single bodyExpand


Sachdev–Ye–Kitaev model as Liouville quantum mechanics
Abstract We show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that ofExpand
Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.
Analytically and numerically it is shown that a generalized SYK model with an additional one-body infinite-range random interaction is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. Expand
Approximating the Sachdev-Ye-Kitaev model with Majorana wires
The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-stateExpand
Remarks on the Sachdev-Ye-Kitaev model
The authors study in detail the quantum mechanical model of $N$ Majorana fermions with random interactions of a few fermions at a time (Sachdev-Ye-Kitaev model) in the large $N$ limit. At lowExpand
Higher-dimensional Sachdev-Ye-Kitaev non-Fermi liquids at Lifshitz transitions
We address the key open problem of a higher dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model. We construct a model on a lattice of SYK dots with non-random intersite hopping. TheExpand
The spectrum in the Sachdev-Ye-Kitaev model
A bstractThe SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and hasExpand
Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models.
This work exemplifies an analytically controlled study of a strongly correlated metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. Expand
Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos
The Sachdev-Ye-Kitaev (SYK) model is a concrete model for non-Fermi Liquid with maximally chaotic behavior in $0+1$-$d$. In order to gain some insights into real materials in higher dimensions whereExpand
Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model.
A generalization of the Sachdev-Ye-Kitaev model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms is considered, and the solution shows a zero-temperature quantum phase transition between two non-Fermi liquid chaotic phases. Expand
Recent Developments in Non-Fermi Liquid Theory
Non-Fermi liquids are unconventional metals whose physical properties deviate qualitatively from those of noninteracting fermions due to strong quantum fluctuations near Fermi surfaces. They ariseExpand