Symmetries in the Physics of Strongly Correlated Electronic Systems

TL;DR

This paper discusses the development of the Composite Operator Method to better understand strongly correlated electron systems by restoring fundamental symmetries through self-consistent calculations.

Contribution

It introduces a novel theoretical scheme, the Composite Operator Method, that restores symmetries in models of strongly correlated electrons, addressing limitations of traditional perturbation approaches.

Findings

Successfully restores fundamental symmetries in models

Provides a self-consistent calculation framework

Addresses inadequacies of perturbation schemes

Abstract

Strongly correlated electron systems require the development of new theoretical schemes in order to describe their unusual and unexpected properties. The usual perturbation schemes are inadequate and new concepts must be introduced. In our scheme of calculations, the Composite Operator Method, is possible to recover, through a self-consistent calculation, a series of fundamental symmetries by choosing a suitable Hilbert space.