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  • Letter
  • Open Access

Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators

Ang-Kun Wu1, Siddhartha Sarkar2, Xiaohan Wan2, Kai Sun2,*, and Shi-Zeng Lin3,4,†

  • *Contact author: sunkai@umich.edu
  • †Contact author: szl@lanl.gov
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Phys. Rev. Research 6, L032063 – Published 12 September, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L032063

Abstract

The quantum metric of single-particle wave functions in topological flat bands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states. Here, we unravel that the quantum metric causes the many-body Chern number of the FCI states to deviate sharply from the expected value associated with partial filling of the single-particle topological flat band. Furthermore, the variation of the quantum metric in momentum space induces band dispersion through interactions, affecting the stability of the FCI states. This causes a reentrant transition into the Fermi liquid from the FCI phase as the interaction strength increases.

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Phys. Rev. Research 6, L032063– Published 12 September, 2024
  • Received 11 July 2024
  • Accepted 29 August 2024
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