Rigorous solution of a Hubbard model extended by nearest-neighbor Coulomb and isotropic exchange interaction on a triangle and tetrahedron

Abstract

In the preprint cond-mat/0701060 we detected a factor two error in the coding of the Heisenberg term of the Hamiltonian. In the result the exchange term used in the paper was that of an anisotropic Heisenberg model with $J_x=J_y=J$ and $J_z=J/2$. Thus all results given for which J=0 was chosen, remain unchanged, whereas all results containing the exchange parameter remain true for the extended Hubbard model with anisotropic exchange. That model is of some interest by itself, due to the relation to the XXZ model. The differing results for isotropic exchange are given here.

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References in corpus (10)

• Quantum Cluster Theories
• Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates
• Magnetically Tunable Kondo - Aharonov-Bohm Effect in a Triangular Quantum Dot
• Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
• Superconductivity in Inhomogeneous Hubbard Models
• An exact study of charge-spin separation, pairing fluctuations and pseudogaps in four-site Hubbard clusters
• Nearest-Neighbor Repulsion and Competing Charge and Spin Order in the Extended Hubbard Model
• Self-energy-functional theory for systems of interacting electrons with disorder
• Analytical solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron
• A quantum Monte Carlo study on the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a triangular lattice

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