The Hubbard model of interacting electrons, like the Ising model of spinspin interactions, is the simplest possible model displaying many “real world” features, but it is much more difficult to analyze qualitatively than the Ising model. After a third of a century of research, we are still not sure about many of its basic properties. This mini-review will explore what is known rigorously about ...

The thermodynamical property of a small cluster including M Hubbard dimers, each of which is described by the two-site Hubbard model, has been discussed within the nonex-tensive statistics (NES). The temperature dependence of the energy, entropy, specific heat and susceptibility has been calculated for M = 1, 2, 3 and ∞ (corresponding to q = 1) with the use of the relation between the entropic ...

He, Yue, "A probabilistic model of benefit-cost analysis for highway construction projects" (2015). Open Access Theses. 507. This is to certify that the thesis/dissertation prepared By Entitled For the degree of Is approved by the final examining committee: To the best of my knowledge and as understood by the student in the Thesis/Dissertation Agreement, Publication Delay, and Certification Dis...

In this paper, we study the thermal response functions for two one-dimensional models, namely, the Hubbard and spinless fermion t-V model, respectively. By exactly diagonalizing finite sized systems, we calculate dynamical, electrical, thermoelectrical, and thermal conductivities via the Kubo formalism J. Phys. Soc. Jpn. 12, 57

The low–energy excited states of a system of interacting one–dimensional fermions in a conducting state are collective charge and spin density oscillations. The unusual physical properties of such a system (called “Luttinger liquid”) are characterized by the velocities uρ and uσ of the charge and spin excitations, as well as by a parameter Kρ that determines the power law behavior of correlatio...

The strong-coupling perturbation theory of the Hubbard model is presented and carried out to order (t/U) for the one-particle Green function in arbitrary dimension. The spectral weight A(k, ω) is expressed as a Jacobi continued fraction and compared with new Monte-Carlo data of the one-dimensional, half-filled Hubbard model. Different regimes (insulator, conductor and short-range antiferromagne...

Different kinds of instabilities (CDW , SDW , SS) in the 1D Hubbard model with pair-hopping interaction are investigated using an approximate Bethe-Salpeter equation. The study is performed at any density of electrons and for arbitrary values of the model parameters. In the absence of the on-site interaction, no transition occurs at half filling for any finite negative pair-hopping parameter, i...

In this paper, we use the local density approximation+Hubbard U method to calculate the structural and electronic properties of low-spin LaCoO3. The Hubbard U is obtained by first principles and consistent with each fully optimized atomic structure at different pressures. With structurally consistent U, the fully optimized atomic structure agrees with experimental data better than the calculati...

It is well established in the macro-finance literature that finance is a crucial factor in the growth process via capital formation, hence the importance of finance constraint in the theory of investment. The issue is particularly important in the emerging market economies which are considered as southern engines of global growth. A very large empirical literature has emerged to test the hypoth...