Dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field

Abstract

We study the dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field h, focusing in particular on the singularities at excitation energies in the vicinity of the lower thresholds of the leading-order dominant excitations. We derive the exact momentum and spin-density dependences of the exponents controlling the singularities for both the longitudinal and transversal dynamical structure factors for the whole momentum range, in the thermodynamic limit. In that limit we argue that the higher-order excitations change neither the exponents nor the sharpness of the singularities. We discuss the relation to neutron scattering and suggest new experiments on spin-chain compounds using a carefully oriented crystal.

5 pages, 2 figures

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• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
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Cited by in corpus (6)

• Absence of high-temperature ballistic transport in the spin-$1/2$ $XXX$ chain within the grand-canonical ensemble
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction