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Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
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We explain the appearance of magic angles and fractional Chern insulators in twisted K-valley homobilayer transition metal dichalcogenides by mapping their continuum model to a Landau level problem. Our approach relies on an adiabatic approximation for the quantum mechanics of valence band holes in a layer-pseudospin field that is valid for sufficiently small twist angles and on a lowest Landau level approximation that is valid for sufficiently large twist angles. It simply explains why the quantum geometry of the lowest moir\'e miniband is nearly ideal at particular flat-band twist angles, predicts that topological flat bands occur only when the valley-dependent moir\'e potential is sufficiently strong compared to the interlayer tunneling amplitude, and provides a powerful starting point for the study of interactions
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Continuous transition from Fermi liquid to A fractional Chern insulator
A critical theory is proposed for a continuous Fermi liquid to fractional Chern insulator transition at ν=2/3, predicting a high-temperature Hall resistivity near 3/2 h/e^2 on the Fermi liquid side.
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