Phase Diagram of the Interacting Lieb-Kitaev Chain Model

ORAL

Abstract

We investigate correlation effects in the one-dimensional Lieb-Kitaev model, a three-band, multi-orbital topological superconductor with an isolated flat band and tunable quantum metric. Motivated by the noninteracting result that the localization length of Majorana zero modes (MZMs) is governed by the quantum metric length (QML) (Phys. Rev. Lett. 135, 076601 (2025) , Phys. Rev. Lett. 132, 026002(2024)) , we introduce interactions and map out the ground-state phase diagram using large-scale density matrix renormalization group (DMRG). We identify interaction-driven phases and phase boundaries beyond the Ising–XY–CDW landscape known from single-band models. Our results establish the quantum metric as a controlling parameter for correlated topological phases in multi-orbital superconductors.

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Publication: Jiale Xuan and X.Y. Xu, Phase Diagram of the Interacting Lieb-Kitaev Chain Model (planned)

Presenters

  • Jiale Xuan

    • Shanghai Jiao Tong University

Authors

  • Jiale Xuan

    • Shanghai Jiao Tong University

  • Yang Grant Z. X.

    • The Hong Kong University of Science and Technology (HKUST)

  • Kam Tuen Law

    • The Hong Kong University of Science and Technology (HKUST)
    • Hong Kong University of Science and Technology

  • Xiao Yan Xu

    • Shanghai Jiao Tong Univ