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TT: Fachverband Tiefe Temperaturen

TT 32: Correlated Electrons: Poster Session

TT 32.85: Poster

Donnerstag, 28. Februar 2008, 14:00–18:00, Poster B

Mapping of parent Hamiltonians: spin chains and the fractional quantum Hall effect — •Ronny Thomale and Martin Greiter — Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D 76128 Karlsruhe

Motivated by the striking similarities of the Gutzwiller wave function for S=1/2 spin chains and the Laughlin wave function for bosons at Landau level filling fraction ν=1/2, we establish a general mapping between the corresponding Hilbert spaces. We then employ this mapping to obtain a parent Hamiltonian for the spin systems starting from a parent Hamiltonian for the bosonic quantum Hall liquid.