Quantum Hall states and boson triplet condensate for rotating spin-1 bosons

Abstract

We propose and analyze two series of clustered quantum Hall states for rotating systems of spin-1 bosons. The first series (labelled SU(4)_k) includes the exact ground states of a model Hamiltonian at large angular momentum L, and also for N=3k particles at L=N. The latter is a spin-singlet boson triplet condensate (BTC). The second series, labelled SO(5)_k, includes exact ground states at large $L$ for different parameter values.

arXiv comment5 pages, RevTeX. v2: some rewording. v3: shortened, references added, explanation of validity of LLL approx improved, energies corrected

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