Chern, C.-H.C.-H.ChernCHYH-HONG CHERN2019-12-202019-12-202007https://scholars.lib.ntu.edu.tw/handle/123456789/436809Through 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.journal article10.1103/PhysRevLett.98.0668042-s2.0-33846869926https://www.scopus.com/inward/record.uri?eid=2-s2.0-33846869926&doi=10.1103%2fPhysRevLett.98.066804&partnerID=40&md5=71fd248a76a995c7a8b8cd127d31751d