title: Laughlin spin-liquid states on lattices obtained from conformal field theory.
abstract: We propose a set of spin system wave functions that is very similar to lattice versions of the Laughlin states. The wave functions are conformal blocks of conformal field theories and for a filling factor of ν = 1/2 we provide a parent Hamiltonian, which is valid for any even number of spins and is at the same time a 2D generalization of the Haldane-Shastry model. We also demonstrate that the Kalmeyer-Laughlin state is reproduced as a particular case of this model. Finally, we discuss various properties of the spin states and point out several analogies to known results for the Laughlin states.
authors.affiliation: Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching D-85748, Germany.
authors.forename: Anne E B
authors.initials: AE
authors.lastname: Nielsen
authors.forename: J Ignacio
authors.initials: JI
authors.lastname: Cirac
authors.forename: Germán
authors.initials: G
authors.lastname: Sierra