We compute the eigenfunctions, energies and Bethe equations for a class of generalized integrable Hubbard models based on gl(n|m)⊕ gl(2) superalgebras. The Bethe equations appear to be similar to the Hubbard model ones, up to a phase due to the integration of a subset of ‘simple’ Bethe equations. We discuss relations with AdS/CFT correspondence, and with condensed matter physics.

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock regimes, and the entanglement are calculated exactly as functions of the phase parameter and the number of bosons. The results show that the system goes thou...

The dc conductance through a Hubbard chain of size N (=1,2, 3, . . . ) connected to noninteracting leads is studied at T = 0 in an electron-hole symmetric case using a perturbation theory in U . The result shows a typical even-odd property corresponding to a Kondo or Mott-Hubbard physics.

This paper begins by analyzing the Fermi-Hubbard Hamiltonian, a hopping model for Fermions on a lattice, and the pathology of the model’s extreme cases is discussed. Finally, the usefulness of experiments with ultracold atoms for studying order in these systems is presented. William R. McGehee Long-Range Order in the Hubbard Model 2

We perform numerical simulations of the Hubbard model using the projector Quantum Monte Carlo method. A novel approach for nite size scaling is discussed. We obtain evidence in favor of d{wave superconductivity in the repulsive Hubbard model. For U = 4, T c is roughly estimated as T c 30 K.

Correlation effects play an important role in the electronic structure of half-metallic (HM) magnets. In particular, they give rise to nonquasiparticle states above (or below) the Fermi energy at finite temperatures that reduce the spin polarization and, as a consequence, the efficiency of spintronics devices. Employing the constrained random-phase approximation (cRPA) within the full-potential...

We present in detail the recently developed multiconfigurational symmetrized-projector quantum Monte Carlo (MSPQMC) method for excited states of the Hubbard model. We describe the implementation of the Monte Carlo method for a multiconfigurational trial wavefunction. We give a detailed discussion of issues related to the symmetry of the projection procedure which validates our Monte Carlo proce...

in this paper, we dene and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology  s induced from operatorss and s.