2024/06/06 by Ziyue Qi, Hongming Weng, Qi, Ziyue +3
Mathematics · Physics and Astronomy · #Correlation #Electron #FOS: Physical sciences #Geometry #MAJORANA #Mathematics #Neutrino #Nuclear physics #Philosophy #Photorefractive and Nonlinear Optics #Physics #Quantum optics and atomic interactions #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #Zero (linguistics)
paper · pdf · doi:10.48550/arxiv.2406.04168
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2024/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this work, we perform a systematic investigation of the correlated topological superconductors (TSCs), especially their non-trivial Majorana zero modes (MZMs). Compared to the non-interacting MZMs, the emerged correlated MZMs become projected MZMs. To prove this, we study the topological superconducting nanowire under the Hubbard and Hatsugai-Kohmoto interactions. Both of them become correlated TSCs under a magnetic field. Their topological properties are numerically computed by the Wilson loop and entanglement spectrum. We successfully extract the projected MZMs connecting the ground state and excited state through exact diagonalization. We also extend our results to the spinful Kitaev chain. Our results can provide a new perspective and understanding of the correlated MZMs.