2000/06/27 by Jizhong Lou, Shaojin Qin, Tai-Kai Ng +2 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.65.104401
published as Phys. Rev. B 65, 104401 (2002) · 4 pages, 6 figures
arxiv created 2000/06/27 · openalex publication_date 2002/01/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The manifestations of topological effects in finite antiferromagnetic Heisenberg chains are examined by density-matrix renormalization-group techniques. We find that the difference between integer and half-integer spin chains shows up in ground-state energy per site when the length of the spin chain is longer than \ensuremath∼\ensuremathξ, where \ensuremathξ\ensuremath∼exp(\ensuremathπS) is a spin-spin correlation length, for spin magnitudes S up to 5/2. For open chains with spin magnitudes S=5/2 to S=5, we verify that end states with fractional spin quantum numbers S^\ensuremath' exist and are visible in the structure of the low-energy excitation spectrum even when the chain length is much smaller than the correlation length \ensuremathξ. The robustness of end states points to the possibility of the existence of general hidden topological order in quantum spin chains with spin magnitudes S>~1.