This work deals with the one-dimensional Hubbard model. It has seven chapters: 1. Introduction; 2. The Hubbard Model; 3. Algebraic Representation for the Hilbert Space of the 1D Hubbard Model; 4. Pseu . . . . .
In these lectures I consider the half-filled two-dimensional (2D) Hubbard model on the honeycomb lattice and I review the rigorous construction of its ground state properties by making use of construc . . . . .
Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard ground . . . . .
I present a pedagogical survey of a variety of quantum phases of the Hubbard model. The honeycomb lattice model has a conformal field theory connecting the semi-metal to the insulator with Neel order. . . . . .
This is the solution of the ground state energy and wave function of the one-dimensional Hubbard model, that shows that there is no Mott transition in this model. The solution and the details of the . . . . .
We present a recently developed formalism for computing certain dynamical transport coefficients for standard models of correlated matter, such as the Hubbard and the $t-J$ model. The case of the Hall . . . . .
Abstract: Hubbard model is an important model in theory of strongly correlated electron systems. In this contribution we introduce this model along with numerically exact method of diagonalization of . . . . .