Randomness-driven quantum phase transition in bond-alternating Haldane chain
arXiv:cond-mat/0410755 · doi:10.1143/JPSJ.74.1127
Abstract
The effect of bond randomness on the spin-gapped ground state of the spin-1 bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the loop cluster quantum Monte Carlo method, we investigate the stability of topological order in terms of the recently proposed twist order parameter [M. Nakamura and S. Todo: Phys. Rev. Lett. 89 (2002) 077204]. It is observed that the dimer phases as well as the Haldane phase of the spin-1 Heisenberg chain are robust against a weak randomness, though the valence-bond-solid-like topological order in the latter phase is destroyed by introducing a disorder stronger than the critical value.
4 pages, 5 figures; minor changes; accepted for publication in J. Phys. Soc. Jpn
References in corpus (16)
- The Loop Algorithm
- Cluster algorithms for general-S quantum spin systems
- Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
- Random Bonds and Topological Stability in Gapped Quantum Spin Chains
- An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
- Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
- Percolation Transition in the random antiferromagnetic spin-1 chain
- Site-Dilution-Induced Antiferromagnetic Long-Range Order in Two-Dimensional Spin-Gapped Heisenberg Antiferromagnet
- Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets
- Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain
- Griffiths Effects in Random Heisenberg Antiferromagnetic S=1 Chains
- Bond-Dilution Effects on Two-Dimensional Spin-Gapped Heisenberg Antiferromagnets
- Comment on ``Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets"
- Disorder Induced Phases in Higher Spin Antiferromagnetic Heisenberg Chains
- Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain
- Simulations on Infinite Size Lattices