Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$

Abstract

Twisted bilayer MoTe${}_2$ is a promising platform to investigate the interplay between band topology and many-body interaction. We present a theoretical study of its interaction-driven quantum phase diagrams based on a three-orbital model, which can be viewed as a generalization of the Kane-Mele-Hubbard model with one additional orbital and long-range Coulomb repulsion. We predict a cascade of phase transitions tuned by the twist angle $\theta$. At the hole filling factor $\nu =1$ (one hole per moiré unit cell), the ground state can be in the multiferroic phase with coexisting spontaneous layer polarization and magnetism, the quantum anomalous Hall phase, and finally the topologically trivial magnetic phases, as $\theta$ increases from $1.5^{\circ }$ to $5^{\circ }$. At $\nu =2$, the ground state can have a second-order phase transition between an antiferromagnetic phase and the quantum spin Hall phase as $\theta$ passes through a critical value. The dependence of the phase boundaries on model parameters such as the gate-to-sample distance, the dielectric constant, and the moiré potential amplitude is examined. The predicted phase diagrams can guide the search for topological phases in twisted transition metal dichalcogenide homobilayers.

16 pages, 13 figures

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Cited by in corpus (39)

• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Orbital Chern Insulator at $\nu =-2$ in Twisted MoTe${}_2$
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Interaction induced moiré systems in twisted bilayer optical lattices
• Unconventional Metallic Magnetism: Non-analyticity and Sign-changing Behavior of Orbital Magnetization in ABC Trilayer Graphene
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Artificial moiré engineering for an ideal BHZ model
• Enhancement of temperature of quantum anomalous Hall effect in two-dimensional germanene/magnetic semiconductor heterostructures
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Moiré Topology in Twisted Structures with Noncollinear Spin-Orbit Coupling
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Insulating charge transfer ferromagnetism
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Relaxation and Its Effects on Electronic Structure in Twisted Systems: An Analytical Perspective
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk