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 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.

2 pages, 4 figures

Cited by in corpus (14)

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• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
• Finite Temperature Properties of the Mixed Diamond Chain with Spins 1 and 1/2
• Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
• Exact spin-cluster ground states in a mixed diamond chain
• Inversion Phenomena of the Anisotropies of the Hamiltonian and the Wave-Function in the Distorted Diamond Type Spin Chain
• Quantum Phase Transitions in Alternating-Bond Mixed Diamond Chains with Spins 1 and 1/2
• Quantum Rotors on the AB${}_2$ Chain with Competing Interactions
• Effects of Single-site Anisotropy on Mixed Diamond Chains with Spins 1 and 1/2
• Ground-State Phases of Anisotropic Mixed Diamond Chains with Spins 1 and 1/2
• Coupled Cluster Treatment of the Alternating Bond Diamond Chain