Regensburg 2019 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
MA: Fachverband Magnetismus
MA 10: Poster Session: Topological Topics (joint session TT/MA)
MA 10.10: Poster
Montag, 1. April 2019, 15:00–18:30, Poster D
Truncation of lattice fractional quantum Hall Hamiltonians derived from CFT — •Srivatsa N. S1, Dillip Nandy2, and Anne E. B. Nielsen3 — 1MPIPKS, Dresden, Germany — 2Aarhus University, Aarhus, Denmark — 3MPIPKS, Dresden, Germany
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 a combination of guesswork and numerical optimization. Here, we propose a different strategy to construct truncated Hamiltonians, which does not rely on optimization, and which can be applied independent of the choice of lattice. We test the approach on models with bosonic Laughlin-like ground states and find that the overlaps per site between the states constructed from conformal field theory and the ground states of the truncated models are higher than 0.98 for all the studied lattices.