Hubbard pair cluster in the external fields. Studies of the chemical potential

Abstract

The chemical potential of the two-site Hubbard cluster (pair) embedded in the external electric and magnetic fields is studied by exact diagonalization of the Hamiltonian. The formalism of the grand canonical ensemble is adopted. The influence of temperature, Hubbard on-site Coulombic energy $U$ and electron concentration on the chemical potential is investigated and illustrated in figures. In particular, a discontinuous behaviour of the chemical potential (or electron concentration) in the ground state is discussed.

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• Hubbard pair cluster in the external fields. Studies of the chemical potential
• Local integrals of motion in the two-site Anderson-Hubbard model
• Magnetocaloric and electrocaloric properties of the Hubbard pair cluster
• Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition
• Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility
• Hubbard pair cluster in the external fields. Studies of the magnetic properties
• Hubbard pair cluster with elastic interactions. Studies of thermal expansion, magnetostriction and electrostriction
• Conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice