Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Strongly Correlated Eelectrons in Metals

Version 1 : Received: 22 December 2021 / Approved: 24 December 2021 / Online: 24 December 2021 (15:53:24 CET)

How to cite: Szeftel, J. On Strongly Correlated Eelectrons in Metals. Preprints 2021, 2021120409 (doi: 10.20944/preprints202112.0409.v1). Szeftel, J. On Strongly Correlated Eelectrons in Metals. Preprints 2021, 2021120409 (doi: 10.20944/preprints202112.0409.v1).

Abstract

A procedure, dedicated to superconductivity, is extended to study the properties of interacting electrons in normal metals in the thermodynamic limit. Each independent-electron band is shown to split into two correlated-electron bands. Excellent agreement is achieved with Bethe's wave-function for the one-dimensional Hubbard model. The groundstate energy, reckoned for the two-dimensional Hubbard Hamiltonian, is found to be lower than values, obtained thanks to the numerical methods. This analysis applies for any spatial dimension and temperature.

Keywords

inter-electron correlation; Fermi gas; BCS theory; lattice fermion models

Subject

PHYSICAL SCIENCES, Condensed Matter Physics

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