# Fermi linearization scheme for itinerant electrons with Clifford variables

@article{Montorsi1992FermiLS, title={Fermi linearization scheme for itinerant electrons with Clifford variables}, author={Arianna Montorsi and Alessandro Pelizzola}, journal={Journal of Physics A}, year={1992}, volume={25}, pages={5815-5822} }

The authors propose an alternative interpretation of the Fermi linearization approach to interacting electron systems, based on the requirement that the coefficients of the linearized operators are Clifford-like variables, whose anticommutator equals an unknown constant c. They apply the approximation to the Falicov-Kimball model (1969), explicitly solving the self-consistency equation for the unknown, which turns out to behave as an order parameter. They discuss its relation with a metal…

## 5 Citations

Metal-Insulator Transition in the 2D Hubbard model: a Fermionic Linearization Approach

- Physics
- 1995

We show that, by treating within the fermionic linearization scheme the hopping between adjacent 1-d chains, the free enegergy of the 2-d Hubbard model can be evaluated self-consistently as a…

The Hubbard Models and Superconductivity

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- 1996

We discuss concisely how the conventional Hubbard model and its generalizations (including phonons) might be good candidates for an explanation of high Tc superconductivity, reviewing its properties…

Auxiliary fermion linearization

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- 1996

We present a novel mean-field-like scheme for -spin fermions on a lattice in arbitrary dimension, generalizing the fermionic linearization approach. It describes the interaction of each lattice site…

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- Physics
- 1994

SummaryWe define a chain-cluster Fermi-linearized Hubbard model, in which the hopping between adjacent 1-d chains is described in terms of an order parameter (valued in a suitable Grassmann field)…

Dynamical Algebras and Superalgebras for Interacting Itinerant Many-Electron Systems

- Physics
- 1994

The role of dynamical algebras, both (semi-simple) Lie and graded Lie, in the self-consistent solution of many itinerant interacting electron mean field problems is thoroughly reviewed, with…

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