Higher Chern bands in helical homotrilayer transition metal dichalcogenides

Abstract

We propose helically twisted homotrilayer transition metal dichalcogenides as a platform for realizing correlated topological phases of matter with higher and tunable Chern numbers. We show that a clear separation of scales emerges for small twist angles, allowing us to derive a low-energy continuum model that captures the physics within moiré-scale domains. We identify regimes of twist angle and displacement field for which the highest-lying hole band is isolated from other bands and is topological with $K$-valley Chern number $C=-2$. We demonstrate that varying the displacement field can induce a transition from $C=-2$ to $C=-1$, as well as from a topologically trivial band to a $C=-1$ band. We derive an effective tight-binding description for a high-symmetry stacking domain which is valid for a wide range of twist angles, and we show that the $C=-2$ band can remain stable at filling fraction $\nu =-1$ in the presence of interactions in Hartree-Fock calculations.

30 pages, 19 figures. Published version

References in corpus (62)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Nearly-flat bands with nontrivial topology
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Fractional quantum Hall effect in the absence of Landau levels
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Quantum anomalous Hall effect from intertwined moiré bands
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Estimation of Young's Modulus of Graphene by Raman Spectroscopy
• Exponential localization of Wannier functions in insulators
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
• Electrical switching of magnetic order in an orbital Chern insulator
• Stripe phases in WSe2/WS2 moiré superlattices
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
• Flatbands in twisted double bilayer graphene
• Band structure and topological property of twisted double bilayer graphenes
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Superconductivity in twisted bilayer WSe${}_2$
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Tunable bilayer Hubbard model physics in twisted WSe2
• Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators
• Gate-tunable heavy fermions in a moiré Kondo lattice
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers
• Topological charge density waves at half-integer filling of a moiré superlattice
• Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models
• Magic-angle helical trilayer graphene
• Superconductivity and quantized anomalous Hall in rhombohedral graphene
• Non-local interactions in moiré Hubbard systems
• Quantum Metric Induced Phases in Moiré Materials
• Gate tunable topological flat bands in twisted monolayer-bilayer graphene
• Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Supermoiré low-energy effective theory of twisted trilayer graphene
• Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene
• Multi-scale lattice relaxation in general twisted trilayer graphenes
• Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices
• Helical trilayer graphene: a moiré platform for strongly-interacting topological bands
• Moire Band Structures of the Double twisted Few Layer Graphene
• 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
• Visualizing the microscopic origins of topology in twisted molybdenum ditelluride
• Extended magic phase in twisted graphene multilayers
• Generalizing Quantum Hall Ferromagnetism to Fractional Chern Bands
• Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands
• Experimental signature of layer skyrmions and implications for band topology in twisted WSe2 bilayers
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Efficient prediction of superlattice and anomalous miniband topology from quantum geometry
• Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bands
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Band structure and band topology in twisted homotrilayer transition metal dichalcogenides
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides