Hubbard pair cluster with elastic interactions. Studies of thermal expansion, magnetostriction and electrostriction
arXiv:1905.04379 · doi:10.1016/j.physa.2019.121740
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.
References in corpus (10)
- Thermodynamics of the 3D Hubbard model on approach to the Neel transition
- Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
- Reentrant phase transitions of a coupled spin-electron model on doubly decorated planar lattices with two or three consecutive critical points
- Analytical solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron
- Hubbard pair cluster in the external fields. Studies of the chemical potential
- Thermodynamic model of a solid with RKKY interaction and magnetoelastic coupling
- Self-consistent model of a solid for the description of lattice and magnetic properties
- A self-consistent thermodynamic model of metallic systems. Application for the description of gold
- Thermodynamics of a model solid with magnetoelastic coupling
- Exact time evolution of the asymmetric Hubbard dimer