Similarities between the Hubbard and Periodic Anderson Models at Finite Temperatures

TL;DR

This paper demonstrates that the Hubbard and Periodic Anderson models exhibit remarkably similar magnetic, charge, and spectral behaviors at finite temperatures, suggesting deeper connections between their physical phenomena.

Contribution

It reveals a quantitative similarity between the two models' behaviors and phase diagrams, bridging their traditionally separate physical interpretations.

Findings

Similar magnetic and charge correlations in both models

Nearly identical finite temperature phase diagram topology

Implications for theories of the rare earth volume collapse

Abstract

The single band Hubbard and the two band Periodic Anderson Hamiltonians have traditionally been applied to rather different physical problems - the Mott transition and itinerant magnetism, and Kondo singlet formation and scattering off localized magnetic states, respectively. In this paper, we compare the magnetic and charge correlations, and spectral functions, of the two systems. We show quantitatively that they exhibit remarkably similar behavior, including a nearly identical topology of the finite temperature phase diagrams at half-filling. We address potential implications of this for theories of the rare earth ``volume collapse'' transition.