Hubbard pair cluster with elastic interactions. Studies of thermal expansion, magnetostriction and electrostriction

Abstract

The pair cluster (dimer) is studied within the framework of the extended Hubbard model and the grand canonical ensemble. The elastic interatomic interactions and thermal vibrational energy of the atoms are taken into account. The total grand potential is constructed, from which the equation of state is derived. In equilibrium state, the deformation of cluster size, as well as its derivatives, are studied as a function of the temperature and the external magnetic and electric fields. In particular, the thermal expansion, magnetostriction and electrostriction effects are examined for arbitrary temperature, in a wide range of Hamiltonian parameters.

Magnetocaloric and electrocaloric properties of the Hubbard pair cluster

“…It can be noted that in the light of the paper [56], where the magnetoelastic properties of the Hubbard pair cluster have been investigated, it would be interesting to study the caloric effects in the presence of the external elastic forces , leading to the emergence of multicaloric effects [57,58,59]. These forces, being able to deform interatomic distance, influence both the hopping integral and the interatomic Coulomb potential.…”

Thermodynamic properties of the one-dimensional Ising model with magnetoelastic interaction

“…Such a method has already been implemented for the description of the bulk models with magneto-elastic interactions [45][46][47]. Recently, the method has also been adopted for the Hubbard pair-cluster with elastic inter-atomic potential in the external fields [48].…”