title: New family of models for incompressible quantum liquids in d>/=2.
abstract: Through Haldane's construction, the fractional quantum Hall states on a two-sphere were shown to be the ground states of one-dimensional SU(2) spin Hamiltonians. In this Letter we generalize this construction to obtain a new class of SU(N) spin Hamiltonians. These Hamiltonians describe center-of-mass-position conserving pair hopping fermions in space dimension d>/=2.
authors.affiliation: ERATO-SSS, Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan.
authors.forename: Chyh-Hong
authors.initials: CH
authors.lastname: Chern
authors.forename: Dung-Hai
authors.initials: DH
authors.lastname: Lee