PERMUTATION GROUP APPROACH TO THE ONE-DIMENSIONAL XXX HEISENBERG OPEN SPIN-1/2 CHAINS

Feng Pan (), Lian-Rong Dai, Dan Zhang and J. P. Draayer
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Feng Pan: Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China;
Lian-Rong Dai: Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China
Dan Zhang: Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China
J. P. Draayer: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 02, 247-265

Abstract: Permutation group approach to the one-dimensional XXX Heisenberg open spin-1/2 chain with nearest neighbor interaction is proposed, which is formulated not only for half-filling excitations, but also for general case. Regularity of energy matrices and the corresponding wavefunctions are made up by using an induction method, which makes it possible to study the eigenvalue problem systematically. A Mathematica package for generating the energy matrices is implemented according to this procedure.

Keywords: Spin chain; excitation spectrum; permutation group approach; 03.65.Fd; 02.20.Qs; 75.10.Jm; 75.30.Et (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005668

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