A Model with Propagating Spinons beyond One Dimension
Abstract
For the model of frustrated spin-1/2 Heisenberg magnet described in A. A. Nersesyan and A. M. Tsvelik, (Phys. Rev. B{\bf 67}, 024422 (2003)) we calculate correlation functions of staggered magnetization and dimerization. The model is formulated as a collection of antiferromagnetic chains weakly coupled by a frustrated exchange interaction. The calculation done for the case of four chains demonstrates that these functions do not vanish. Since the correlation functions in question factorize into a product of correlation functions of spinon creation and annihilation operators, this constitutes a proof that spinons in this model propagate in the direction perpendicular to the chains.
Keywords
Cite
@article{arxiv.cond-mat/0304634,
title = {A Model with Propagating Spinons beyond One Dimension},
author = {F. A. Smirnov and A. M. Tsvelik},
journal= {arXiv preprint arXiv:cond-mat/0304634},
year = {2009}
}
Comments
revised version to appear in Phys. Rev B., 8 pages, a reference added