Spinon Attraction in Spin-1/2Antiferromagnetic Chains

2000/11/06 by B. Andrei Bernevig, B. A. Bernevig, Domenico Giuliano +2 · 26 citations
Materials Science · Mathematics · Physics and Astronomy · #Function (biology) #Law #Limit (mathematics) #Magnetism in coordination complexes #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Representation (politics) #Spin (aerodynamics) #Spinon #Theoretical and Computational Physics #Thermodynamics #cond-mat

paper · pdf · doi:10.1103/physrevlett.86.3392

published in Physical Review Letters 86(15), 3392-3395 (American Physical Society) · 4 pages, 1 encapsulated postscript figure

arxiv created 2000/11/06 · openalex publication_date 2001/04/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive the representation of the two-spinon wave function for the Haldane-Shastry model in terms of the spinon coordinates. This result allows us to rigorously analyze spinon interaction and its physical effects. We show that spinons attract one another. The attraction gets stronger as the size of the system is increased and, in the thermodynamic limit, determines the power law with which the susceptibility diverges.

Citations

• Exact calculation of the ground-state dynamical spin correlation function of aS=1/2 antiferromagnetic Heisenberg chain with free spinons
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL

Cited by

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• Entanglement in a spin system with inverse square statistical interaction