Dynamical correlation functions of the Heisenberg-Ising chain in the antiferromagnetic massive regime

• Applicant: Professor Dr. Frank Göhmann
• Subject Area: Theoretical Condensed Matter Physics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 544839950

The main objective of the project is a detailed study of dynamical correlation functions of the Heisenberg-Ising chain by means of thermal form-factor series. Dynamical correlation functions determine the outcome of scattering and transport experiments. They are hard to calculate by conventional numerical or perturbative methods. In case of the model at hand its integrability helps. We are planning to consider the massive antiferromagnetic parameter regime for which we have obtained a number of series representations of dynamical correlation functions in previous work. We will be particularly interested in spin and energy transport along the chain. Within the proposed project we shall study the corresponding form-factor series numerically and by means of asymptotic analysis.

• DFG Programme: Research Grants
• International Connection: France
• Cooperation Partner: Professor Dr. Karol Kozlowski