2021/05/31 by Mikael Fremling, Lars Fritz
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Biology #Bipartite graph #Combinatorics #Condensed matter physics #Fermion #Geometry #Honeycomb #MAJORANA #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Statistical physics #Syk #Theoretical physics #Topological Materials and Phenomena #Torus #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.105.085147
v3: 14 pages, 15 figures ; v2: 14 pages, 14 figures
arxiv created 2022/02/14 · openalex publication_date 2022/02/25 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 γ-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.