Theorems to demostrate the presence of antiferromagnetism in the periodic Anderson model

TL;DR

This paper rigorously proves the presence of antiferromagnetism in the ground state of the symmetric periodic Anderson model, advancing understanding of electron correlations in strongly correlated systems.

Contribution

It introduces new theorems demonstrating antiferromagnetic order in the periodic Anderson model's ground state, based on bipartite lattice analysis and prior theoretical results.

Findings

Ground state exhibits short-range antiferromagnetic order

Theorems confirm spin singlet formation in the model

Supports the role of electron correlation in magnetic ordering

Abstract

Anderson model is an important model in the theory of strongly correlated electron system. In this study, we explore the ground state of this model and the concept of electron correlation by bipartite lattice and prove rigorously theorems leading to the presence of spin singlet in the model. By using the results of Ueda et al (1992) and Tian (1994), we show theoretically that the ground state of the symmetric periodic Anderson model has a short range order antiferromagnetism.