Equivalence of the antiferromagnetic Heisenberg ladder to a singleS=1 chain

1995/03/17 by Steven R. White · 7 citations
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Chain (unit) #Condensed matter physics #Equivalence (formal languages) #Magnetism in coordination complexes #Mathematics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.53.52

10 pages, 5 postscript figures

arxiv created 1995/03/17 · openalex publication_date 1996/01/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05

Abstract

I introduce two continuous transformations between the S=1 Heisenberg chain and the antiferromagnetic S=1/2 Heisenberg ladder. Both transformations couple diagonally situated next-nearest-neighbor S=1/2's to form each S=1. Using the density matrix renormalization group, I demonstrate that the two systems are in the same phase. Furthermore, I find that the hidden topological long-range order characterizing the S=1 system is even stronger in the isotropic two-chain system. \textcopyright 1996 The American Physical Society.

Citations

• Density-matrix algorithms for quantum renormalization groups
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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• Phase transitions between topologically distinct gapped phases in isotropic spin ladders