Precursor of Non-Fermi Liquid Behaviour in the One-Dimensional Periodic Anderson Model with Disorder

TL;DR

This study investigates how disorder affects magnetic and electronic properties in a one-dimensional periodic Anderson model, revealing that hybridization disorder induces non-Fermi-liquid behavior consistent with experimental observations.

Contribution

First analysis of disorder effects in hybridization and local energy in the 1D Anderson model using quantum Monte Carlo, highlighting the role of hybridization disorder in non-Fermi-liquid behavior.

Findings

Disorder in hybridization causes non-Fermi-liquid behavior at low temperatures.

Magnetic susceptibility scales with a power law matching experiments.

Disorder in local f-site energy does not induce non-Fermi-liquid behavior.

Abstract

We have studied the one-dimensional periodic, symmetric Anderson model at half filling in the presence of disorder using finite-temperature quantum Monte Carlo techniques. We have examined for the first time the disorder both in hybridization between the local $f$-orbitals and the conduction electrons and in the local $f$-site energy, using a uniform distribution of width $\Delta$. The $f$-orbital local magnetic moment, the uniform magnetic susceptibility, the charge compressibility, and the nearest-neighbor magnetic correlation function have been calculated as a function of the disorder distribution width $\Delta$. We find that the disorder in hybridization has a dramatic effect on the low-temperature magnetic properties exhibiting a non-Fermi-liquid behaviour, and that for the range of temperature studied the magnetic susceptibility can be scaled by a power law with an exponent that is in agreement with recent experiments. On the other hand, disorder in the local $f$-orbital energy level does not show a non-Fermi liquid behaviour.