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arxiv: 1201.5312 · v2 · pith:UX6EVH3Ynew · submitted 2012-01-25 · ❄️ cond-mat.str-el · quant-ph

Parent Hamiltonian for the non-Abelian chiral spin liquid

classification ❄️ cond-mat.str-el quant-ph
keywords chiralspinconstructhamiltonianliquidnon-abelianparentproposed
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We construct a parent Hamiltonian for the family of non-Abelian chiral spin liquids proposed recently by two of us [PRL 102, 207203 (2009)], which includes the Abelian chiral spin liquid proposed by Kalmeyer and Laughlin, as the special case S=1/2. As we use a circular disk geometry with an open boundary, both the annihilation operators we identify and the Hamiltonians we construct from these are exact only in the thermodynamic limit.

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