Exact studies of the ground-state properties of the anisotropic Heisenberg dimer with spin S=1

The extended Heisenberg Hamiltonian for the atomic dimer with spin S = 1 is diagonalized exactly. The anisotropy of the exchange interaction, single-ion anisotropy and the biquadratic exchange interaction are taken into account. It has been assumed that the external magnetic field can be heterogeneous and different on both atoms of the dimer. Based on the rigorous analytical solutions, the ground state properties of the dimer are studied numerically in a wide range of Hamiltonian parameters. In particular, the energy spectrum, biquadratic moment, residual entropy, ground-state phase diagrams and magnetization curves are calculated. The results are presented in the figures and discussed.

Automated summary

In this study, the ground state properties of an atomic dimer with spin S=1 were investigated using the exact diagonalization method. The effects of exchange interaction anisotropy, single-ion anisotropy, and biquadratic exchange interaction were taken into account. The results show that the energy spectrum, biquadratic moment, residual entropy, ground-state phase diagrams, and magnetization curves can be calculated and analyzed using this method.