Ground State Phase Diagram of S=1 Diamond Chains

Abstract

We investigate the ground-state phase diagram of a spin-1 diamond chain. Owing to a series of conservation laws, any eigenstate of this system can be expressed using the eigenstates of finite odd-length chains or infinite chains with spins 1 and 2. The ground state undergoes quantum phase transitions with varying $\lambda$, a parameter that controls frustration. Exact upper and lower bounds for the phase boundaries between these phases are obtained. The phase boundaries are determined numerically in the region not explored in the previous work [Takano et al. J. Phys.: Condens. Matter 8 (1996) 6405].

arXiv comment5 pages, 5 figures

References in corpus (13)

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• Ground states with cluster structures in a frustrated Heisenberg chain
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• Exact spin-cluster ground states in a mixed diamond chain
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• Extension of the Lieb-Schultz-Mattis theorem
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Cited by in corpus (9)

• Cluster-based Haldane phases, bound magnon crystals and quantum spin liquids of a mixed spin-1 and spin-1/2 Heisenberg octahedral chain
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Ground-State Phases of Alternating-Bond S = 1 Diamond Chains
• Ground State Phases of Distorted $S=1$ Diamond Chains
• Infinite Series of Ferrimagnetic Phases Emergent from the Gapless Spin Liquid Phase of Mixed Diamond Chains
• Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains
• Dimer-Monomer Ground State for Extended Spin-1/2 Diamond Chain
• First Order Transitions Between the Gapped Spin-Liquid and Ferrimagnetic Phases in (1/2,1/2,1) Mixed Diamond Chains with Bond Alternation
• Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains with Single-Site Anisotropy