2004/10/31 by Takayuki Arakawa, Synge Todo, Hajime Takayama
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1143/jpsj.74.1127
published as J. Phys. Soc. Jpn. 74, 1127 (2005) · 4 pages, 5 figures; minor changes; accepted for publication in J. Phys. Soc. Jpn
arxiv created 2005/02/07 · openalex publication_date 2005/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.