Phys. Rev. B 56, 5985–5995 (1997)Exact ground states for a class of one-dimensional frustrated quantum spin modelsReceived 28 February 1997; published in the issue dated 1 September 1997 We have found the exact ground state for two frustrated quantum spin-1/2 models on a linear chain. The first model describes the antiferromagnet-ferromagnet transition point. The singlet state at this point has double-spiral ordering. The second model is equivalent to special case of the spin-1/2 ladder. It has a nondegenerate singlet ground state with exponentially decaying spin correlations, and there is an energy gap. The exact ground-state wave function of these models is presented in a special recurrent form, and a recurrence technique for expectation value calculations is developed. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.56.5985
DOI:
10.1103/PhysRevB.56.5985
PACS:
75.10.Jm, 05.50.+q
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