Ground-State Phases of Alternating-Bond S = 1 Diamond Chains

Abstract

The ground-state phases of alternating-bond spin-1 diamond chains are investigated. Each ground state consists of an array of spin clusters separated by singlet dimers owing to an infinite number of local conservation laws. If no singlet dimers are present, the ground state is equivalent to that of a spin chain with infinite length.For strong frustration, we find a series of quantum phase transitions as in the case of alternating-bond mixed diamond chains with spins 1 and 1/2. For intermediate frustration, we find the nonmagnetic Haldane or dimer phases according to whether the bond alternation is weak or strong. For weak frustration and weak bond alternation, we find the ferrimagnetic states with spontaneous magnetizations $m=1/6$ and 1/3 per site. The ferrimagnetic state with $m=1/6$ is accompanied by a spontaneous translational symmetry breakdown. This phase vanishes for strong bond alternation.

5 pages, 3 figures

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• Ground State Phase Diagram of S=1 Diamond Chains
• Partial Ferrimagnetism in S=1/2 Heisenberg Ladders with a Ferromagnetic Leg, an Antiferromagnetic Leg, and Antiferromagnetic Rungs
• Ground State Phases of Distorted $S=1$ Diamond Chains

Cited by in corpus (3)

• Quantum Information Resources in Spin-1 Heisenberg Dimer Systems
• Infinite Series of Ferrimagnetic Phases Emergent from the Gapless Spin Liquid Phase of Mixed Diamond Chains
• First Order Transitions Between the Gapped Spin-Liquid and Ferrimagnetic Phases in (1/2,1/2,1) Mixed Diamond Chains with Bond Alternation