### Abstract

Original language | Undefined |
---|---|

Pages (from-to) | 5423-5427 |

Number of pages | 5 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 13 |

Issue number | 29 |

DOIs | |

Publication status | Published - 20 Oct 1980 |

### Keywords

- EWI-10059
- IR-60493

### Cite this

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*Journal of Physics C: Solid State Physics*, vol. 13, no. 29, pp. 5423-5427. https://doi.org/10.1088/0022-3719/13/29/021

**On the ground state energy of the linear antiferromagnetic Heisenberg chain with nearest and next-nearest neighbour interactions.** / van den Broek, P.M.

Research output: Contribution to journal › Article › Academic › peer-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 -