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

Abstract

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 $\gamma$-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 commentv3: 14 pages, 15 figures ; v2: 14 pages, 14 figures

References in corpus (47)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Localization of interacting fermions at high temperature
• Comments on the Sachdev-Ye-Kitaev model
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Kitaev quantum spin liquid - concept and materialization
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Chaos in quantum channels
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Bekenstein-Hawking Entropy and Strange Metals
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• The Flux-Phase of the Half-Filled Band
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Soundness and completeness of quantum root-mean-square errors
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• An introduction to the SYK model
• Higher Dimensional Generalizations of the SYK Model
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• 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
• Probing symmetries of quantum many-body systems through gap ratio statistics
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Eigenstate entanglement in the Sachdev-Ye-Kitaev model
• A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
• Optical lattice platform for the SYK model
• Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
• Landau levels of Majorana fermions in a spin liquid
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• Gapless state of interacting Majorana fermions in a strain-induced Landau level
• An introduction to Kitaev model-I

Cited by in corpus (3)

• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics