Adjacent Spin Operator Dynamical Structure Factor of the S=1/2 Heisenberg Chain

Abstract

Considering the adjacent spin operators $S_j^z{S}_{j+1}^z$ and $S_j^{-}{S}_{j+1}^{-}$ in the S=1/2 Heisenberg chain, we give a determinant representation of their form factors. The dynamical structure factors of the respective operators are computed over the whole Brillouin zone in several magnetic fields and the resulting signal is analyzed in terms of excitation types. Among other results, we find that the $S_j^z{S}_{j+1}^z$ dynamical structure factor carries a large weight of the 4-spinon excitations which are distinguishable from the 2-spinon signal because they are located outside the 2-spinon spectrum.

16 pages

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Cited by in corpus (7)

• Exact formulas for the form factors of local operators in the Lieb-Liniger model
• Quantum criticality of spinons
• Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model