Soliton binding and low-lying singlets in frustrated odd-leggedS=12spin tubes

2004/05/07 by Andreas Luscher, Andreas Lüscher, Reinhard M. Noack +6 · 4 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Chiral symmetry #Chirality (physics) #Condensed matter physics #Coupling constant #Frustration #Magnetism in coordination complexes #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quark #Soliton #Spin (aerodynamics) #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.70.060405

published as Phys. Rev. B 70, 060405 (2004) · 4 pages, 4 figures

arxiv created 2004/05/07 · openalex publication_date 2004/08/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Motivated by the intriguing properties of the vanadium spin tube Na₂V₃O₇, we show that an effective spin-chirality model similar to that of standard Heisenberg odd-legged S=(1)/(2) spin tubes can be derived for frustrated inter-ring couplings, but with a spin-chirality coupling constant \ensuremathα that can be arbitrarily small. Using density matrix renormalization group and analytical arguments, we show that, while spontaneous dimerization is always present, solitons become bound into low-lying singlets as \ensuremathα is reduced. Experimental implications for strongly frustrated tubes are discussed.

Citations

• Numerical Study of the One-Dimensional Spin-Orbit Coupled System with SU(2) ⊗SU(2) Symmetry
• On Next-Nearest-Neighbor Interaction in Linear Chain. I

Cited by

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• Unusual magnetic properties of the low-dimensional quantum magnetNa2V3O7
• Basic properties of three-leg Heisenberg tube
• Low-lying excitations of the three-leg spin tube: A density-matrix renormalization group study