We develop a supersymmetric representation of the Hubbard operators which unifies the Slave Boson and Slave Fermion representations, allowing a second-quantized treatment of Hubbard operators with both symmetric and anti-symmetric character. We provide a simple example of the application of this method to the atomic limit of the Hubbard model and discuss its more general application to the infi...

A finite chain calculation in terms of Hubbard X-operators is explored by setting up a vibronic Harniltonian. The model conveniently transformed into a form so that in the case of strong coupling a numerical renormalization group approach is applicable. To test the technique, a one particle Green function is calculated for the model Harniltonian

a finite chain calculation in terms of hubbard x-operators is explored by setting up a vibronic harniltonian. the model conveniently transformed into a form so that in the case of strong coupling a numerical renormalization group approach is applicable. to test the technique, a one particle green function is calculated for the model harniltonian

theoretically, in order to describe the behavior of a spectrum, a mathematical model whichcould predict the spectrum characteristics is needed. since in this study a two-state system has beenused like models which was introduced previously past and could couple with the environment, theformer ideas have been extended in this study. we use the second quantized version for writing thishamiltonian...

We develop a supersymmetric representation of the Hubbard operator which unifies the slave boson and slave fermion representations into a single U(1)× SU(1|1) gauge theory, a group with larger symmetry than the product of two U(1) gauge groups. These representations of the Hubbard operator can be used to incorporate strong Hund’s interactions in multi-electron atoms as a constraint. We show how...

A microscopic theory of superconducting pairing within the Hubbard model is discussed. A Dyson equation for the matrix thermodynamic Green function in the Nambu representation for Hubbard operators is derived by applying the Mori-type projection technique for the equation of motion method. The self-energy is calculated in the noncrossing approximation for electron scattering on spin and charge ...

An iterative procedure for the explicit construction of the nontrivial subspace of all symmetryadapted configurations with non-zero weight in the ground-state of the ∞-dimensional Hubbard model is developed on the basis of a symmetrized representation of the transition operators on a sequence of Bethe-Lattices of finite depth. The relation ship between these operators and the well known mapping...

we review various ways to express the partition function of the single-band hubard model as a path integral. the emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly.   since the single-band hubbard model is a pure fermionic model on the lattice and its hamiltonian is a polynomial in creatio...