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Numerical Study of theS=1 Antiferromagnetic Spin Chain with Bond Alternation

1994/01/28 by Yusuke Kato, Akihiro Tanaka · 2 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Alternation (linguistics) #Antiferromagnetism #Bond #Business #Chain (unit) #Condensed matter physics #Magnetism in coordination complexes #Materials science #Philosophy #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Thermodynamics #cond-mat

paper · pdf · doi:10.1143/jpsj.63.1277

9 pages and 1 PostScript figure, Revtex 3.0 (Minor corrections in TEX-file format to remove possible compilatory troubles.)

arxiv created 1994/01/28 · openalex publication_date 1994/04/15 · openalex created_date 2016/06/24 · arxiv updated 2016/08/30 · openalex updated_date 2026/08/05

Abstract

We study the S=1 quantum spin chain with bond alternation \cal H=∑ i (1-(-1)iδ)\vectSi⋅ \vectSi+1 by the density matrix renormalization group method recently proposed by Steven R. White (\PRL6938441993). We find a massless point at δ c =0.25 ± 0.01. We also find the edge states in the region δ <δc under the open boundary condition, which disappear in the region δ >δ c. At the massless point, the spin wave velocity vs is 3.66 ± 0.10 and the central charge c is 1.0± 0.15. Our results indicate that a continuous phase transition occurs at the massless point δ =δc accompanying breaking of the hidden Z2× Z2 symmetry.

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