### Abstract

We present a numerical diagonalization study of two one-dimensional S=1/2 antiferromagnetic Heisenberg chains, having nearest-neighbor and Haldane-Shastry (1/r(2)) interactions, respectively. We have obtained the T=0 dynamical correlation function, S-alpha alpha(q,omega), for chains of length N=8-28. We have studied S-zz(q,omega) for the Heisenberg chain in zero field, and from finite-size scaling we have obtained a limiting behavior that for large omega deviates from the conjecture proposed earlier by Muller ct al. For both chains we describe the behavior of S-zz(q,omega) and S-xx(q,omega) for selected values of the applied held, and compare with previous work by Muller et al. and Talstra and Haldane. Suggestions for future finite-field neutron scattering experiments are made.

Original language | English |
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Journal | Physical Review B |

Volume | 54 |

Issue number | 9 |

Pages (from-to) | 6340-6350 |

ISSN | 2469-9950 |

DOIs | |

Publication status | Published - 1996 |

## Cite this

Lefmann, K., & Rischel, C. (1996). Dynamical correlation functions of the S=1/2 nearest-neighbor and Haldane-Shastry Heisenberg antiferromagnetic chains in zero and applied fields.

*Physical Review B*,*54*(9), 6340-6350. https://doi.org/10.1103/PhysRevB.54.6340