New family of models for incompressible quantum liquids in $d\ge 2$

Abstract

Through Haldane's construction, the fractional quantum Hall states on a two-sphere was shown to be the ground states of {\it 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 describes center-of-mass-position conserving pair hopping fermions in space dimension $d\ge 2$. We conjecture that the excitations of these models posses fractional fermion number.

arXiv comment4 pages, 2 figures. final proofread version for publication

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Cited by in corpus (3)

• Featureless Mott Insulators
• Fractional Quantum Hall States on CP2 Space
• Deconfined Fractionally Charged Excitation in Any Dimensions