Spin Gap of S=1/2 Heisenberg Model on Distorted Diamond Chain

Abstract

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 Cu3 Cl6 (H2 O)2 2H8 C4 SO2. This model is composed of stacked trimers and has three kinds of exchange interactions J1, J2 and J3. Using the numerical diagonalization, we obtain a contour map of the spin gap in the J2/J1-J3/J1 plane. We argue possible values of the exchange constants based on the contour map and the observed value of the spin gap.

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