We study the spin gap of the S=1/2 Heisenberg model on the distorted diamond chain, which is recently proposed to represent magnetic properties of Cu_3 Cl_6 (H_2 O)_2 2H_8 C_4 SO_2. This model is composed of stacked trimers and has three kinds of exchange interactions J_1, J_2 and J_3. Using the numerical diagonalization, we obtain a contour map of the spin gap in the J_2/J_1-J_3/J_1 plane. We argue possible values of the exchange constants based on the contour map and the observed value of the spin gap.
@article{arxiv.cond-mat/0005281,
title = {Spin Gap of S=1/2 Heisenberg Model on Distorted Diamond Chain},
author = {Kazuhiro Sano and Ken'ichi Takano},
journal= {arXiv preprint arXiv:cond-mat/0005281},
year = {2009}
}