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

B. Si Lakhal; A. Abada

doi:10.1007/s10582-006-0026-5

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

B. Si Lakhal, A. Abada

Department of Physics

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

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.

Original language	English
Pages (from-to)	1461-1466
Number of pages	6
Journal	Czechoslovak Journal of Physics
Volume	55
Issue number	11
DOIs	https://doi.org/10.1007/s10582-006-0026-5
Publication status	Published - Nov 2005

Keywords

Antiferromagnetic Heisenberg spin chain exact dynamic structure function sum rules

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s10582-006-0026-5

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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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AU - Si Lakhal, B.

AU - Abada, A.

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N2 - 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.

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

Abstract

Keywords

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