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Numerical solution for the ground-state energy of the anisotropic Heisenberg model

✍ Scribed by P. Bracken

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 156 KB
Volume: 62
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1997)62:1<13::aid-qua2>3.0.co;2-6

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✦ Synopsis

An analysis of the anisotropic Heisenberg model is carried out by solving the Bethe ansatz solution of the model numerically as a function of the anisotropy parameter for finite N. A brief introduction to the limit of the infinite chain is presented. The energy for a few special limiting cases of the anisotropy parameter in the Hamiltonian are worked out. Numerical results for finite cycles as well as for the infinite chain are given. Comparison can then be made with the case of finite increasing N.

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