Unexpected properties of the first excited state of non-bipartite Heisenberg spin rings

Details Unexpected properties of the first excited state of non-bipartite Heisenberg spin rings Unexpected properties of the first excited state of non-bipartite Heisenberg spin rings

2000-06-21

arxiv.org/abs/cond-mat/0006317v1

Phys. Rev. B 62 (2000) 14855-14859

Physics

Condensed Matter

Materials Science

9 pages, 3 figures, uses 'epsfig.sty'. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.62.14855

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.

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