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

Chyh-Hong Chern·Dung-Hai Lee
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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.

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Chyh-Hong Chern, Dung-Hai Lee. 2007-01-31. New family of models for incompressible quantum liquids in $d\geq 2$. https://doi.org/10.1103/physrevlett.98.066804

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