Exact solution of quasi two and three dimensional quantum spin models
Abstract
A class of quasi two and three dimensional quantum lattice spin models with nearest and next nearest neighbour interactions is proposed. The basic idea of construction is to introduce interactions in an array of XXZ spin chains through twisting transformation. The models belong to quantum integrable systems allowing explicit Rmatrix solution. The eigenvalue problem can be solved exactly using some symmetry of the models.
 Publication:

arXiv eprints
 Pub Date:
 November 1997
 DOI:
 10.48550/arXiv.condmat/9711185
 arXiv:
 arXiv:condmat/9711185
 Bibcode:
 1997cond.mat.11185K
 Keywords:

 Condensed Matter
 EPrint:
 Latex, no figure, 7 pages : 3d case added leading to change of Title, some change and addition of formulas and references.Figure removed