Dresden 2020 – scientific programme

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MA: Fachverband Magnetismus

MA 33: Correlation Theory I

MA 33.7: Talk

Wednesday, March 18, 2020, 11:15–11:30, HSZ 403

Fractional quantum Hall models on lattices — •Srivatsa Nagara Srinivasa Prasanna — MPIPKS, Dresden

Conformal field theory has recently been applied to derive few-body Hamiltonians whose ground states are lattice versions of fractional quantum Hall states. The exact lattice models involve interactions over long distances, which is difficult to realize in experiments. It seems, however, that such long-range interactions should not be necessary, as the correlations decay exponentially in the bulk. This poses the question, whether the Hamiltonians can be truncated to contain only local interactions without changing the physics of the ground state. Previous studies have, in a couple of cases with particularly much symmetry, obtained such local Hamiltonians by keeping only a few local terms and numerically optimizing the coefficients. Here, we investigate a different strategy to construct truncated Hamiltonians, which does not rely on optimization, and which can be applied independently of the choice of lattice.