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Calculation of correlation functions in the Heisenberg spin-1/2 antiferromagnetic model

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Abstract

We derive the exact expression of the four-spinon contribution S 4 to the dynamical correlation function S of the spin 1/2 isotropic (XXX) He isenberg model in the antiferromagnetic regime using the quantum group symmetry of the model. We first give the exact expression for the n-spinon contribution in the form of contour integrals and display known results regarding the two-spinon contribution S 2. Then we specialize the n-spinon formula to the case n = 4 and compute three sum rules for S 4 that the total S is known to satisfy exactly. These are: the total integrated intensity, the first frequency moment and the nearest-neighbor correlation function. We find that S 4 corrects only by a small amount the contribution from S 2.

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Authors and Affiliations

  1. Departement de Physique, Universite de Blida, BP 270, Blida, 09000, Algeria

    B. Si Lakhal

  2. Physics Department, Faculty of Science, United Arab Emirates University, POB 17551, Al Ain, United Arab Emirates

    A. Abada

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  1. B. Si Lakhal
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  2. A. Abada
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Si Lakhal, B., Abada, A. Calculation of correlation functions in the Heisenberg spin-1/2 antiferromagnetic model. Czech J Phys 55, 1461–1466 (2005). https://doi.org/10.1007/s10582-006-0026-5

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  • DOI: https://doi.org/10.1007/s10582-006-0026-5

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