# Non Fermi liquid behavior and continuously tunable resistivity exponents in the Anderson-Hubbard model at finite temperature

## TL;DR

This study uses advanced computational methods to explore the finite-temperature behavior of the Anderson-Hubbard model, revealing non-Fermi liquid resistivity scaling and a tunable exponent influenced by disorder and interactions.

## Contribution

First application of a new computational technique to analyze the Anderson-Hubbard model at finite temperature across various interaction and disorder strengths.

## Key findings

- Resistivity scales as $T^{\alpha}$ with a continuously tunable exponent.
- Non-Fermi liquid behavior observed in resistivity scaling.
- Disorder and interactions systematically influence the effective disorder.

## Abstract

We employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation ($U$) and disorder ($V$) strengths. Interestingly, the narrow zero temperature metallic range induced by disorder from the Mott insulator expands with increasing temperature in a manner resembling a quantum critical point. Our study of the resistivity temperature scaling $T^{\alpha}$ for this metal reveals non Fermi liquid characteristics. Moreover, a continuous dependence of $\alpha$ on $U$ and $V$ from linear to nearly quadratic was observed. We argue that these exotic results arise from a systematic change with $U$ and $V$ of the "effective" disorder, a combination of quenched disorder and intrinsic localized spins.