Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality

Abstract

We present a comprehensive dynamical mean field study of the triangular lattice moiré Hubbard model, which is believed to represent the physics of moiré bilayer transition metal dichalcogenides. In these materials, important aspects of the band structure including the bandwidth and the order and location of van Hove singularities can be tuned by varying the interlayer potential. We present a magnetic and metal-insulator phase diagram and a detailed study of the dependence of the resistivity on temperature, band filling and interlayer potential. We find that transport displays Fermi liquid, strange metal and quantum critical behaviors in distinct regions of the phase diagram. Specifically, we find that the cube-root van Hove singularity ($\rho (\epsilon )\sim |\epsilon {|}^{-1/3}$) gives a strange metal behavior with a $T$-linear scattering rate and $\omega /T$ scaling. We show how magnetic order affects the resistivity. Our results elucidate the physics of the correlated states and the metal-insulator continuous transition recently observed in twisted homobilayer WSe${}_2$ and heterobilayer MoTe${}_2$/WSe${}_2$ experiments.

12 pages, 11 figures

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Cited by in corpus (35)

• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Dielectric catastrophe at the Mott and Wigner transitions in a moiré superlattice
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Multilayer graphene with a superlattice potential
• Mixed singlet-triplet superconducting state within the moiré $t$-$J$-$U$ model as applied to the description of twisted WSe${}_2$ bilayer
• Mott transition, Widom line and pseudogap in the half-filled triangular lattice Hubbard model
• 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
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Pseudogap metal and magnetization plateau from doping moiré Mott insulator
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• Continuous Mott transition in moiré semiconductors: role of long-wavelength inhomogeneities
• Intrinsically-multilayer moiré heterostructures
• In situ controllable magnetic phases in doped twisted bilayer transition-metal dichalcogenides
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• Pomeranchuk Effect and Tunable Quantum Phase Transitions in 3L-MoTe2/WSe2
• Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer
• Exciton and light induced ferromagnetism from doping a moiré Mott insulator
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Low-temperature transport in high-conductivity correlated metals: a density-functional plus dynamical mean-field study of cubic perovskites
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides