The Majumdar-Ghosh chain: Twofold ground state and elementary excitations

W.J. Caspers, K.M. Emmett, W. Magnus

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    33 Citations (Scopus)
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    Recently it was proved that the Majumdar-Ghosh chain with the Hamiltonian H=4 Sigma j=12NSj.Sj+1+2 Sigma j=12N Sj.Sj+2, Si+2N identical to Si, Si=1/2, has at least two ground states, in which the spins are arranged in nearest-neighbour singlet pairs. In this work it is shown that these two states are the only ground states. Besides, a rapidly converging variational method is given to determine the elementary excitations
    Original languageEnglish
    Pages (from-to)2687-2696
    JournalJournal of physics A: mathematical and general
    Issue number13
    Publication statusPublished - 1984


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