The Theory of Fermi Condensate Quantum Phase Transition

TL;DR

This paper develops a theoretical framework for Fermi condensate quantum phase transitions in strongly correlated Fermi systems, integrating Landau theory with new concepts and validating with models and experimental data.

Contribution

It introduces the concept of Fermi condensate quantum phase transition and extends Landau theory to describe strongly correlated Fermi systems.

Findings

Verification on exactly solvable models

Numerical calculations support the theory

Good agreement with experimental data

Abstract

This report is devoted to the building of the theory and analyzing the phenomenon which take place in such strong correlated Fermi systems as High temperature superconductors, metals with heavy fermions and quasi two dimensional Fermi-systems. The described theory of strong correlated Fermi systems bases on conceptions of Fermi condensate quantum phase transition (FCQPT) and Fermi condensate. It develops the well known Landau paradigm based on quasi particles formalism and order parameter. The description of the FCQPT theory is followed by its verification on the different exactly solvable models, by numerical calculations and by comparing with wide collection of experimental data.