Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-01-15
Physics
Condensed Matter
Strongly Correlated Electrons
5+3 pages, 4 figures
Scientific paper
We propose a set of spin system wavefunctions that are very similar to lattice versions of the Laughlin states. The wavefunction are conformal blocks of conformal field theories, and for filling factor \nu=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.
Cirac Juan Ignacio
Nielsen Anne E. B.
Sierra German
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