Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers

Abstract

We study twisted bilayer MoTe${}_2$ systems at fractional fillings of the lowest hole band under an applied out-of-plane displacement field. By employing exact diagonalization in finite-size systems, we systematically map out the ground state quantum phase diagram for two filling fractions, $\nu =1/3$ and $2/3$, and provide a detailed characterization of each phase. We identify the phase transition between a fractional Chern insulator (FCI) and a layer-polarized charge density wave (CDW) at a filling fraction of $\nu =1/3$, denoted as CDW-$1$. Additionally, we demonstrate that the competition between the displacement field and twist angle leads to another phase transition from a layer-polarized CDW-$1$ to a layer-hybridized CDW-$2$, identified as a first-order phase transition. Furthermore, at $\nu =2/3$ filling of the lowest hole band, we observe that the FCI remains stable against the displacement field until it approaches proximity to a transition in single-particle band topology at a smaller twist angle.

arXiv comment20 pages, 20 Figures

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• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
• A Novel Perspective on Ideal Chern Bands with Strong Short-Range Repulsion: Applications to Correlated Metals, Superconductivity, and Topological Order
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$