Wilson and Kadowaki-Woods Ratios in Heavy Fermions

TL;DR

This paper characterizes the behavior of heavy fermions near a quantum critical point using a one-parameter scaling approach, providing explicit calculations of Wilson and Kadowaki-Woods ratios that are independent of the proximity to criticality.

Contribution

It introduces a comprehensive characterization of heavy fermion behavior in a specific regime using one-parameter scaling, including explicit calculations of key ratios.

Findings

Wilson and Kadowaki-Woods ratios are independent of the distance to the QCP.

The regime is described by a local interacting model with critical time fluctuations.

Explicit expressions for susceptibility, resistivity, and specific heat are obtained.

Abstract

Recently we have shown that a one-parameter scaling, $T_{coh}$, describes the physical behavior of several heavy fermions in a region of their phase diagram. In this paper we fully characterize this region, obtaining the uniform susceptibility, the resistivity and the specific heat in terms of the coherence temperature $T_{coh}$. This allows for an explicit evaluation of the Wilson and the Kadowaki-Woods ratios in this regime. These quantities turn out to be independent of the distance $|\delta|$ to the quantum critical point (QCP). The theory of the one-parameter scaling corresponds to a local interacting model. Although spatial correlations are irrelevant in this case, time fluctuations are critically correlated as a consequence of the quantum character of the transition.