Phys. Rev. B 62, 14855–14859 (2000)Properties of the first excited state of nonbipartite Heisenberg spin ringsReceived 21 June 2000; published in the issue dated 1 December 2000 Systematic properties of the first excited state are presented for various ring sizes and spin quantum numbers which are only partly covered by the theorem of Lieb, Schultz, and Mattis. For odd ring sizes the first excited energy eigenvalue shows unexpected degeneracy and related shift quantum numbers. As a byproduct the ground state energy as well as the energy of the first excited state of infinite chains are calculated by extrapolating the properties of only a few, finite, antiferromagnetically coupled Heisenberg rings using the powerful Levin sequence acceleration method. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.14855
DOI:
10.1103/PhysRevB.62.14855
PACS:
75.10.Jm, 75.40.Cx
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