Periodic Anderson model meets Sachdev-Ye-Kitaev interaction: A solvable playground for heavy fermion physics

TL;DR

This paper introduces a solvable extension of the periodic Anderson model with Sachdev-Ye-Kitaev interactions, revealing both Fermi liquid and non-Fermi liquid behaviors with potential applications in simulating heavy fermion physics.

Contribution

It presents an exactly solvable model combining heavy fermion physics with SYK interactions, enabling analytical and numerical study of non-Fermi liquid states.

Findings

Supports a low-temperature heavy Fermi liquid phase.

Exhibits a non-Fermi liquid phase with a sharp spectral peak.

Shows a T^{-1} resistivity and Fano lineshape in tunneling spectra.

Abstract

The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all interaction) thus the resultant model admits an exact solution at large-$N$ (e.g. spin flavor) limit. By analytical field theory arguments and numerical calculations, we establish that the system supports a low-temperature (heavy) Fermi liquid and more interesting a non-Fermi liquid solution at elevated temperature/energy. For physical observable, the latter one contributes a sharp peak at Fermi energy for spectral function, a non-Fermi liquid-like $T^{-1}$ resistivity and shows a robust Fano lineshape in tunneling spectrum. This system may be simulated by ultracold atom gases and can serve as a good playground for studying many ubiquitous symmetry-breaking instabilities like unconventional superconductivity or topological orders in generic heavy fermion systems.