On the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest and next-nearest neighbour interactions

P.M. van den Broek

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    The author calculates lower bounds for the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest- and next-nearest-neighbour interactions. From these lower bounds new upper bounds are derived. Several approximations of the ground state energy given in the literature are compared with these upper and lower bounds. It is found that the best approximation is given by extrapolation from finite cyclic chains. This extrapolation, however, is restricted to certain values of the relative strength of the interactions. Here he extrapolates the ground state energy from finite open chains where no such restriction occurs.
    Original languageUndefined
    Pages (from-to)5423-5427
    Number of pages5
    JournalJournal of Physics C: Solid State Physics
    Volume13
    Issue number29
    DOIs
    Publication statusPublished - 20 Oct 1980

    Keywords

    • EWI-10059
    • IR-60493

    Cite this

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    title = "On the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest and next-nearest neighbour interactions",
    abstract = "The author calculates lower bounds for the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest- and next-nearest-neighbour interactions. From these lower bounds new upper bounds are derived. Several approximations of the ground state energy given in the literature are compared with these upper and lower bounds. It is found that the best approximation is given by extrapolation from finite cyclic chains. This extrapolation, however, is restricted to certain values of the relative strength of the interactions. Here he extrapolates the ground state energy from finite open chains where no such restriction occurs.",
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    author = "{van den Broek}, P.M.",
    year = "1980",
    month = "10",
    day = "20",
    doi = "10.1088/0022-3719/13/29/021",
    language = "Undefined",
    volume = "13",
    pages = "5423--5427",
    journal = "Journal of Physics C: Solid State Physics",
    issn = "0022-3719",
    publisher = "Institute of Physics",
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    On the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest and next-nearest neighbour interactions. / van den Broek, P.M.

    In: Journal of Physics C: Solid State Physics, Vol. 13, No. 29, 20.10.1980, p. 5423-5427.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - On the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest and next-nearest neighbour interactions

    AU - van den Broek, P.M.

    PY - 1980/10/20

    Y1 - 1980/10/20

    N2 - The author calculates lower bounds for the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest- and next-nearest-neighbour interactions. From these lower bounds new upper bounds are derived. Several approximations of the ground state energy given in the literature are compared with these upper and lower bounds. It is found that the best approximation is given by extrapolation from finite cyclic chains. This extrapolation, however, is restricted to certain values of the relative strength of the interactions. Here he extrapolates the ground state energy from finite open chains where no such restriction occurs.

    AB - The author calculates lower bounds for the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest- and next-nearest-neighbour interactions. From these lower bounds new upper bounds are derived. Several approximations of the ground state energy given in the literature are compared with these upper and lower bounds. It is found that the best approximation is given by extrapolation from finite cyclic chains. This extrapolation, however, is restricted to certain values of the relative strength of the interactions. Here he extrapolates the ground state energy from finite open chains where no such restriction occurs.

    KW - EWI-10059

    KW - IR-60493

    U2 - 10.1088/0022-3719/13/29/021

    DO - 10.1088/0022-3719/13/29/021

    M3 - Article

    VL - 13

    SP - 5423

    EP - 5427

    JO - Journal of Physics C: Solid State Physics

    JF - Journal of Physics C: Solid State Physics

    SN - 0022-3719

    IS - 29

    ER -