Dynamical correlation functions of the XXZ model at finite temperatures

• Applicants: Professor Dr. Frank Göhmann; Professor Dr. Michael Karbach
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2019 to 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 267822229

The main goal of our project is to deduce exact and explicit results for dynamical correlation functions of the Heisenberg-Ising chain (XXZ chain) in equilibrium with a heat bath of temperature T. We believe that this is now possible due to the novel 'thermal form factor expansion' developed during the first funding period of our research group. We expect to obtain explicit results for the long-time, large-distance asymptotics of two-point functions as well as for the high-temperature asymptotics at any fixed space-time point. We are hoping moreover, that the thermal form factor expansion will prove to be numerically efficient which would enable us to calculate the dynamical properties of quasi-one-dimensional magnetic compounds at finite temperatures.

• DFG Programme: Research Units
• Subproject of: FOR 2316: Correlations in Integrable Quantum Many-Body Systems