The Chirality operators for Heisenberg Spin Systems
Condensed Matter
2009-10-22 v1
Abstract
The ground state of closed Heisenberg spin chains with an odd number of sites has a chiral degeneracy, in addition to a two-fold Kramers degeneracy. A non-zero chirality implies that the spins are not coplanar, and is a measure of handedness. The chirality operator, which can be treated as a spin-1/2 operator, is explicitly constructed in terms of the spin operators, and is given as commutator of Permutation operators.
Cite
@article{arxiv.cond-mat/9402001,
title = {The Chirality operators for Heisenberg Spin Systems},
author = {V. Subrahmanyam},
journal= {arXiv preprint arXiv:cond-mat/9402001},
year = {2009}
}
Comments
7 pages, report IC/94/23. E-mail: vmani@ictp.trieste.it