Speaker
Description
This study rigorously investigates the effects of temperature and magnetic field on the dynamical autocorrelations and correlation functions of the spin-$1/2$ Heisenberg tetrahedron. The exact results for the dynamical autocorrelations and correlation functions are subsequently used to compute the static and dynamic structure factors of the spin-$1/2$ Heisenberg tetrahedron, which can be directly probed through inelastic neutron scattering experiments. It is demonstrated that experimental data on dynamic and static structure factors supplemented by basic magnetometry measurement of the magnetization enable the determination of fundamental bipartite entanglement measures of the spin-$1/2$ Heisenberg tetrahedron such as concurrence or negativity. Notably, anomalous temperature-induced variations in the structure factors and both investigated measures of the bipartite entanglement emerge in the vicinity of two magnetic fields, where level crossing between singlet-triplet and triplet-quintet ground states occur. Furthermore, the validity of our results is confirmed by verifying compliance with sum rules for the dynamic structure factor applicable at both zero as well as non-zero temperatures, which effectively ensures the conservation of spectral weight.
Acknowledgements
Funded by the EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia under the project No. 09I03-03-V02-00021.
