Density matrix renormalization group study of the correlation function of the bilinear-biquadratic spin-1 chain

1994/06/30 by R. J. Bursill, Robert J. Bursill, Tao Xiang +3 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat #hep-lat

paper · pdf · doi:10.1088/0305-4470/28/8/005

published as J. Phys. A 28 (1994) 2109-2119 · 13 pages, Standard Latex File + 5 PostScript figures in separate (New version with SUBSTANTIAL REVISIONS to appear in J Phys A)

arxiv created 1995/01/27 · openalex publication_date 1995/04/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Using the recently developed density matrix renormalization group approach, we study the correlation function of the spin-1 chain with quadratic and biquadratic interactions. This allows us to define and calculate the periodicity of the ground state which differs markedly from that in the classical analogue. Combining our results with other studies, we predict three phases in the region where the quadratic and biquadratic terms are both positive.

Citations

• Statistical mechanics of chain molecules
• Density-matrix algorithms for quantum renormalization groups
• The renormalization group: Critical phenomena and the Kondo problem
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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• The density-matrix renormalization group
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