Finite Size Formula in the XYZ Spin Chain
High Energy Physics - Theory
2007-05-23 v1 Condensed Matter
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry. From this simplified expression the ``finite size formula'' for magnetizations in the bounded and in the half-infinite chains is deduced. Applying this formula we calculate the spontaneous magnetization in the bounded XYZ model.
Keywords
Cite
@article{arxiv.hep-th/9809058,
title = {Finite Size Formula in the XYZ Spin Chain},
author = {Yasuhiro Fujii and Miki Wadati},
journal= {arXiv preprint arXiv:hep-th/9809058},
year = {2007}
}
Comments
14pages, LaTeX2e file, uses psfrag