Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond the two-dimensional limit. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers. Mott physics and band topology in materials with strong spin–orbit interaction. Correlated quantum phenomena in the strong spin-orbit regime. Correlation effects in two-dimensional topological insulators. Magic in twisted transition metal dichalcogenide bilayers. Topological insulators in twisted transition metal dichalcogenide homobilayers. Wu, F., Lovorn, T., Tutuc, E., Martin, I. Unconventional superconductivity in magic-angle graphene superlattices. Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Intrinsic quantized anomalous Hall effect in a moiré heterostructure. Moiré heterostructures as a condensed-matter quantum simulator. Superconductivity and strong correlations in moiré flat bands. Quantum criticality in twisted transition metal dichalcogenides. Continuous Mott transition in semiconductor moiré superlattices. Stripe phases in WSe 2/WS 2 moiré superlattices. Correlated insulating states at fractional fillings of the WS 2/WSe 2 moiré lattice. Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices. Correlated insulating states at fractional fillings of moiré superlattices. Strongly correlated electrons and hybrid excitons in a moiré heterostructure. Correlated electronic phases in twisted bilayer transition metal dichalcogenides. Simulation of Hubbard model physics in WSe 2/WS 2 moiré superlattices. Mott and generalized Wigner crystal states in WSe 2/WS 2 moiré superlattices. Hubbard model physics in transition metal dichalcogenide moiré bands. Our study paves the way for discovery of emergent phenomena arising from the combined influence of strong correlation and topology in semiconductor moiré materials. Contrary to most known topological phase transitions 13, it is not accompanied by a bulk charge gap closure. The electric-field-induced topological phase transition from a Mott insulator to a quantum anomalous Hall insulator precedes an insulator-to-metal transition. ![]() At half band filling, corresponding to one particle per moiré unit cell, we observe quantized Hall resistance, h/ e 2 (with h and e denoting the Planck’s constant and electron charge, respectively), and vanishing longitudinal resistance at zero magnetic field. Unlike in the AA-stacked heterobilayers 11, an out-of-plane electric field not only controls the bandwidth but also the band topology by intertwining moiré bands centred at different layers. Here we report the observation of a quantum anomalous Hall effect in AB-stacked MoTe 2 /WSe 2 moiré heterobilayers. ![]() However, non-trivial band topology has remained unclear. Correlation-driven phenomena, including the Mott insulator 2, 3, 4, 5, generalized Wigner crystals 2, 6, 9, stripe phases 10 and continuous Mott transition 11, 12, have been demonstrated. Semiconductor moiré materials provide a highly tuneable platform for studies of electron correlation 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Quantum invariants of knots and 3-manifolds By Vladimir G.Electron correlation and topology are two central threads of modern condensed matter physics.Princeton, N.J: Princeton University Press. : Cite journal requires |journal= ( help) Archived from the original (PDF) on 20 July 2007. ![]() "Topological quantum field theory and hyperkähler geometry". "Invariant differential operators for quantum symmetric spaces, II". "Knotted trivalent graphs and construction of the LMO invariant from triangulations". "Invariants of 3-manifolds via link polynomials and quantum groups".
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