# Degenerate orbital effect in a three orbital periodic Anderson model

## TL;DR

This paper investigates a three orbital periodic Anderson model using density matrix embedding theory, revealing complex magnetic phases, Fermi surface topology differences, and a scaling transformation linking hybridization ratios.

## Contribution

It introduces a detailed analysis of degenerate orbital effects in a three orbital periodic Anderson model, highlighting new magnetic phases and a scaling transformation.

## Key findings

- Identified two anti-ferromagnetic and one paramagnetic phase at half filling.
- Analyzed Fermi surface topology differences between phases.
- Discovered a scaling transformation connecting hybridization ratios.

## Abstract

The competition between the Ruderman-Kittel-Kasuya-Yosida effect and Kondo effect is a central subject of periodic Anderson model. By using the density matrix embedding theory, we study a three orbital periodic Anderson model, in which the effects of degenerate conduction orbitals via the local magnetic moments, number of electrons, and spin-spin correlation functions, are investigated. From the phase diagram at half filling, we find there exists two different anti-ferromagnetic phases and one paramagnetic phase. To explore the difference of the two anti-ferromagnetic phases, the topology of Fermi surface and the connection with standard periodic Anderson model are considered. The spin-spin correlation functions yield insight into the competition between Ruderman-Kittel-Kasuya-Yosida interaction and Kondo interaction. We further find there is a "scaling transformation" connects different ratio of the hybridization strength.