A general construction using CFT null vectors and BPZ equations yields continuum Hamiltonians for which Moore-Read and k=3 Read-Rezayi Jack-polynomial states are exact zero modes.
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In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.
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Parent Hamiltonian Construction of Generalized Calogero-Sutherland Models
A general construction using CFT null vectors and BPZ equations yields continuum Hamiltonians for which Moore-Read and k=3 Read-Rezayi Jack-polynomial states are exact zero modes.
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Level statistics of the disordered Haldane-Shastry model with $1/r^\alpha$ interaction
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.