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Fractional Chern and topological insulators

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The fractional quantum Hall effect has recently been realized without an external magnetic field in Moire heterostructures of transition metal dichalcogenides. This offers a new approach to fractional quantum Hall physics, as these systems can be probed with a wide range of experimental methods and are highly tunable. I will present the theoretical foundations for the emergence of such states and how they can be explored with state of the art numerical methods. I will further discuss how the same material platform can potentially host time-reversal symmetric counterparts of these states, the fractional topological insulators.

This talk is part of the Theory of Condensed Matter series.

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