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- W1997354001 abstract "The ground-state energy per site, ensuremath{epsilon}(ensuremath{delta}), and the singlet-triplet gap, ensuremath{Delta}(ensuremath{delta}), of the linear spin-(1/2) alternating Heisenberg antiferromagnet are found by extrapolation of direct solutions to Nensuremath{le}26 sites for even rings and Nensuremath{le}21 sites for odd rings, whose orbital degeneracy leads to qualitatively different critical behavior. The ensuremath{epsilon}(ensuremath{delta}) accuracy of ${<10}^{mathrm{ensuremath{-}}4}$ (in units of J) decisively rules out power-law behavior for any alternation ensuremath{delta}>0.001 and is consistent with ${ensuremath{delta}}^{4/3}$/ensuremath{Vert}lnensuremath{delta}ensuremath{Vert} for ensuremath{delta}<0.05. The gap ensuremath{Delta}(ensuremath{delta}) is slightly sublinear in ensuremath{delta}. Direct ground-state solutions are found via diagrammatic valence-bond methods and provide sensitive tests for theoretical approaches to linear spin systems." @default.
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- W1997354001 date "1985-09-01" @default.
- W1997354001 modified "2023-09-23" @default.
- W1997354001 title "Ground-state alternation and excitation energy of S=(1/2) linear Heisenberg antiferromagnets" @default.
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- W1997354001 doi "https://doi.org/10.1103/physrevb.32.3124" @default.
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