Two-particle bound states and one-particle structure factor in a Heisenberg bilayer system

2008/06/04 by Andrew M. Collins, A. Collins, C. J. Hamer
Chemistry · Physics and Astronomy · #Bilayer #Bound state #Chemistry #Condensed matter physics #Dimer #Ferromagnetism #Heisenberg model #Particle (ecology) #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Series (stratigraphy) #Spin (aerodynamics) #Structure factor #Theoretical and Computational Physics #Thermodynamics #cond-mat.other #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.054419

14 pages, 12 figures

arxiv created 2008/06/04 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The S=1/2 Heisenberg bilayer spin model at zero temperature is studied in the dimerized phase using analytic triplet-wave expansions and dimer series expansions. The occurrence of two-triplon bound states in the S=0 and S=1 channels, and antibound states in the S=2 channel, is predicted by the triplet-wave theory and confirmed by series expansions. All bound states are found to vanish at or before the critical coupling separating the dimerized phase from the N'eel phase. The critical behavior of the total and single-particle static transverse structure factors is also studied by series and found to conform with theoretical expectations. The single-particle state dominates the structure factor at all couplings.

Citations

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