Topological Sachdev-Ye-Kitaev Model

Abstract

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit both topological trivial and nontrivial phases. Starting from a topologically trivial insulator with zero Hall conductance, we show that interaction can drive a phase transition to topological nontrivial insulator with quantized non-zero Hall conductance, and a single gapless Dirac fermion emerges when the interaction is fine tuned to the critical point. The finite temperature effect is also considered and we show that the topological phase with stronger interaction is less stable against temperature. Our model provides a concrete example to illustrate interacting topological phases and phase transition, and can shed light on similar problems in physical systems.

6 pages, 5 figures

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Cited by in corpus (21)

• Interacting topological insulators: a review
• Interacting Majorana Fermions
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
• The chiral SYK model
• On the replica structure of Sachdev-Ye-Kitaev model
• Influence of interactions on the anomalous quantum Hall effect
• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
• Topology of black hole phase transition in JT gravity
• Polaron in a $p+ip$ Fermi topological superfluid
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• One SYK SET
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• SYK does not Transit Gloria Mundi just yet
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
• Nematic order in topological SYK models
• Quasiparticle tunnelling in two coupled chiral SYK model