Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer 
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Pan, Haining; Wu, Fengcheng; Sarma, Sankar Das

doi:10.1103/physrevresearch.2.033087

Cited by 152 publications

(99 citation statements)

References 36 publications

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“…Moiré bilayers formed from transition metal dichalgocenide (TMDC) materials are now of intense interest [3][4][5][6][7][8][9][10][11]. In heterobilayer MoTe 2 /WSe 2 the bandwidth can be tuned over about an order of magnitude while in twisted homobilayer WSe 2 (tWSe 2 ) properties of the van Hove point including its Brillouin zone location and the degree of singularity are controlled by the displacement field [10,12,13].…”

Section: Introductionmentioning

confidence: 99%

Dynamical mean field theory of moiré bilayer transition metal dichalcogenides: phase diagram, resistivity, and quantum criticality

Zang,

Wang,

Cano

et al. 2021

Preprint

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We present a comprehensive dynamical mean field study of the 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. 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 WSe2 and heterobilayer MoTe2/WSe2 experiments.

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Section: Introductionmentioning

confidence: 99%

Dynamical mean field theory of moiré bilayer transition metal dichalcogenides: phase diagram, resistivity, and quantum criticality

Zang,

Wang,

Cano

et al. 2021

Preprint

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“…The recent advent of moiré materials, followed by the discovery of correlated insulators and superconductors in magic-angle twisted bilayer graphene [36,37], provides vast new opportunities to design different phases of matter, including topological phases discussed above [26][27][28][38][39][40][41][42][43][44][45][46][47][48]. It was theoretically proposed [49] that moiré bands in twisted transition metal dichalcogenide homobilayers can be mapped to the Kane-Mele model [49,50]. Coulomb repulsion can further drive a rich set of broken symmetry insulating states (e.g., Chern insulators) because the topological moiré bands have narrow bandwidth.…”

mentioning

confidence: 99%

“…1 (b). By retaining the topmost valence bands from each layer, we construct [49,50,53] a valley-dependent continuum Hamiltonian as follows The periodic potential ∆ b (r) is parametrized as…”

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confidence: 99%

Topological Phases in AB-Stacked MoTe$_2$/WSe$_2$: $\mathbb{Z}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves

Pan,

Xie,

et al. 2021

Preprint

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We present a theory on the quantum phase diagram of AB-stacked MoTe2/WSe2 using a selfconsistent Hartree-Fock calculation performed in the plane-wave basis, motivated by the observation of topological states in this system. At filling factor ν = 2 (two holes per moiré unit cell), Coulomb interaction can stabilize a Z2 topological insulator by opening a charge gap. At ν = 1, the interaction induces three classes of competing states, spin density wave states, an in-plane ferromagnetic state, and a valley polarized state, which undergo first-order phase transitions tuned by an out-of-plane displacement field. The valley polarized state becomes a Chern insulator for certain displacement fields. Moreover, we predict a topological charge density wave forming a honeycomb lattice with ferromagnetism at ν = 2/3. Future directions on this versatile system hosting a rich set of quantum phases are discussed.

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“…a realization of an effective Fermi-Hubbard system [9,10]. Theoretical models have also predicted topological phases, charge density waves, and generalized Wigner crystals [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures

Götting,

Lohof,

Gies

2022

Preprint

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In bilayers of semiconducting transition metal dichalcogenides, the twist angle between layers can be used to introduce a highly regular periodic potential modulation on a length scale that is large compared to the unit cell. In such structures, correlated states can emerge, in which excitons in the heterostructure are strongly localized to the potential minima due to exciton-exciton interactions. We explore the transition between Mott and extended exciton phases in terms of a moiré-Bose-Hubbard Hamiltonian. Hopping and on-site interaction parameters are obtained from a Wannier representation of the interlayer-exciton wave functions, and a non-local Rytova-Keldysh model is used to attribute for the dielectric screening of excitons in the two-dimensional material. For sufficiently small exciton concentrations our model predicts the emergence of Mott-insulating states, establishing twisted TMD heterostructures as possible quantum simulators for bosonic many-body systems.

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Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe2

Cited by 152 publications

References 36 publications

Dynamical mean field theory of moiré bilayer transition metal dichalcogenides: phase diagram, resistivity, and quantum criticality

Dynamical mean field theory of moiré bilayer transition metal dichalcogenides: phase diagram, resistivity, and quantum criticality

Topological Phases in AB-Stacked MoTe$_2$/WSe$_2$: $\mathbb{Z}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves

Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures

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