Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
Abstract
Recent theoretical studies raised the possibility of a realization of spin nematic states in the S=1 triangular lattice compound NiGa_2S_4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix renormalization group method and exact diagonalization. We present the phase diagram focusing on antiferromagnetic interactions. Adjacent to the known Haldane-double Haldane and the extended critical phase with dominant spin nematic correlations we find a trimerized phase with a nonvanishing energy gap. We discuss results for different order parameters, energy gaps, correlation functions, and the central charge, and make connection to field theoretical predictions for the phase diagram.
Cite
@article{arxiv.0707.1195,
title = {Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain},
author = {Philippe Corboz and Andreas M. Laeuchli and Keisuke Totsuka and Hirokazu Tsunetsugu},
journal= {arXiv preprint arXiv:0707.1195},
year = {2008}
}
Comments
5 pages, 6 figures, corrected typos