Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet

Abstract

A novel determinantal representation for matrix elements of local spin operators between Bethe wave functions of the one-dimensional s=1/2 XXZ model is used to calculate transition rates for dynamic spin structure factors in the planar regime. In a first application, high-precision numerical data are presented for lineshapes and band edge singularities of the in-plane (xx) two-spinon dynamic spin structure factor.

arXiv comment8 pages, 2 figures

References in corpus (9)

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• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Characterization of a Quasi-One Dimensional Spin-1/2 Magnet which is Gapless and Paramagnetic for g mu_B H <= J and k_B T << J
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Bethe's equation is incomplete for the XXZ model at roots of unity
• Exact two-spin dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet
• Lineshape predictions via Bethe ansatz for the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field
• Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain
• Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field

Cited by in corpus (27)

• Computation of dynamical correlation functions of Heisenberg chains in a field
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Correlation functions of integrable models: a description of the ABACUS algorithm
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Lectures on the Bethe Ansatz
• Bound states and entanglement in the excited states of quantum spin chains
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
• Form factors of integrable Heisenberg (higher) spin chains
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime
• Open XXZ chain and boundary modes at zero temperature
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Spinon excitations in the XX chain: spectra, transition rates, observability
• Nature of the many-body excitations in a quantum wire: theory and experiment
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Spectrum and transition rates of the XX chain analyzed via Bethe ansatz
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Spectral Properties of Interacting One-Dimensional Spinless Fermions
• Spinon dynamics in quantum integrable antiferromagnets
• Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
• On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model