Ground state properties of the periodic Anderson model with electron-phonon interactions

TL;DR

This paper investigates the ground state properties of the periodic Anderson model with electron-phonon interactions, proving its uniqueness, singlet nature, and short-range antiferromagnetic order using a new analytical approach.

Contribution

It introduces a novel analytical method based on operator inequalities to analyze the ground state of the PAM with electron-phonon interactions.

Findings

Ground state at half-filling is unique and a singlet.

Ground state exhibits short-range antiferromagnetism.

Analytical proof of ground state properties.

Abstract

The periodic Anderson model (PAM) is a fundamental model describing heavy fermion systems. In this paper, we examine the PAM with electron-phonon interactions. Introducing a new analytical method based on operator inequalities, we prove that the ground state at half-filling is unique and a singlet. We also prove that the ground state exhibits short-range antiferromagnetism.