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Approximate calculation of the excitation spectrum of the Heisenberg linear chain

Approximate calculation of the excitation spectrum of the Heisenberg linear chain An approximate calculation of the excitation spectrum of the Heisenberg linear chain is performed by the Green's-function technique. Apart from the usual transverse Green's function, a longitudinal Green's function is also found useful. The decoupling procedure is not based on the two-sublattice picture, but utilizes the knowledge of known exact results about the ground state of the linear chain and the insight obtained from a model with explicitly known ground state. The equations are solved in a self-consistent manner, and the spectrum, except near the edge of the Brillouin zone, compares well the exact des Cloizeaux-Pearson result. We also provide an expression for the intensity for neutron-scattering studies; this can be checked against measurements on Cu Cl 2 ·2N( C 5 D 5 ) (CPC). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Approximate calculation of the excitation spectrum of the Heisenberg linear chain

Physical Review B , Volume 12 (7) – Oct 1, 1975
9 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1975 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.12.2856
Publisher site
See Article on Publisher Site

Abstract

An approximate calculation of the excitation spectrum of the Heisenberg linear chain is performed by the Green's-function technique. Apart from the usual transverse Green's function, a longitudinal Green's function is also found useful. The decoupling procedure is not based on the two-sublattice picture, but utilizes the knowledge of known exact results about the ground state of the linear chain and the insight obtained from a model with explicitly known ground state. The equations are solved in a self-consistent manner, and the spectrum, except near the edge of the Brillouin zone, compares well the exact des Cloizeaux-Pearson result. We also provide an expression for the intensity for neutron-scattering studies; this can be checked against measurements on Cu Cl 2 ·2N( C 5 D 5 ) (CPC).

Journal

Physical Review BAmerican Physical Society (APS)

Published: Oct 1, 1975

There are no references for this article.