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

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

2006-07-31

arxiv.org/abs/cond-mat/0607807v4

Phys. Rev. Lett. 98, 066804 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures. final proofread version for publication

Scientific paper

10.1103/PhysRevLett.98.066804

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.

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